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1232110442112 = 273111907152959
BaseRepresentation
bin10001111011011111100…
…000010101011010000000
311100210021220011120200020
4101323133200111122000
5130141330233121422
62342005042453440
7155005562646234
oct21733740253200
94323256146606
101232110442112
11435598250560
1217a95b364280
138c258c85804
14438c4d7a5c4
15220b3c4095c
hex11edf815680

1232110442112 has 128 divisors (see below), whose sum is σ = 3572215603200. Its totient is φ = 373168573440.

The previous prime is 1232110442111. The next prime is 1232110442117. The reversal of 1232110442112 is 2112440112321.

1232110442112 is digitally balanced in base 12, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12321104421122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

1232110442112 is strictly pandigital in base 12.

It is not an unprimeable number, because it can be changed into a prime (1232110442111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7978689 + ... + 8131647.

It is an arithmetic number, because the mean of its divisors is an integer number (27907934400).

Almost surely, 21232110442112 is an apocalyptic number.

1232110442112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1232110442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786107801600).

1232110442112 is an abundant number, since it is smaller than the sum of its proper divisors (2340105161088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1232110442112 is a wasteful number, since it uses less digits than its factorization.

1232110442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154894 (or 154882 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1232110442112 its reverse (2112440112321), we get a palindrome (3344550554433).

The spelling of 1232110442112 in words is "one trillion, two hundred thirty-two billion, one hundred ten million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 1907 2112 3814 4224 5721 7628 11442 15256 20977 22884 30512 41954 45768 61024 62931 83908 91536 122048 125862 152959 167816 183072 244096 251724 305918 335632 366144 458877 503448 611836 671264 732288 917754 1006896 1223672 1342528 1682549 1835508 2013792 2447344 2685056 3365098 3671016 4027584 4894688 5047647 6730196 7342032 8055168 9789376 10095294 13460392 14684064 19578752 20190588 26920784 29368128 40381176 53841568 58736256 80762352 107683136 161524704 215366272 291692813 323049408 583385626 646098816 875078439 1166771252 1750156878 2333542504 3208620943 3500313756 4667085008 6417241886 7000627512 9334170016 9625862829 12834483772 14001255024 18668340032 19251725658 25668967544 28002510048 37336680064 38503451316 51337935088 56005020096 77006902632 102675870176 112010040192 154013805264 205351740352 308027610528 410703480704 616055221056 1232110442112