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1122112121112 = 233271663733073
BaseRepresentation
bin10000010101000011000…
…110000010100100011000
310222021100220220220110100
4100111003012002210120
5121341041200333422
62215254033015400
7144032661440643
oct20250306024430
93867326826410
101122112121112
113a2981047954
121615810b4560
1381a78c25bc8
143c44c0b2a5a
151e2c6d7a7ac
hex10543182918

1122112121112 has 96 divisors (see below), whose sum is σ = 3082414776480. Its totient is φ = 368702530560.

The previous prime is 1122112121077. The next prime is 1122112121131. The reversal of 1122112121112 is 2111212112211.

It is a happy number.

It is a super-2 number, since 2×11221121211122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33911808 + ... + 33944880.

It is an arithmetic number, because the mean of its divisors is an integer number (32108487255).

Almost surely, 21122112121112 is an apocalyptic number.

1122112121112 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 1122112121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541207388240).

1122112121112 is an abundant number, since it is smaller than the sum of its proper divisors (1960302655368).

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

1122112121112 is a wasteful number, since it uses less digits than its factorization.

1122112121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39793 (or 39786 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 1122112121112 its reverse (2111212112211), we get a palindrome (3233324233323).

The spelling of 1122112121112 in words is "one trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 6637 13274 19911 26548 33073 39822 53096 59733 66146 79644 99219 119466 132292 159288 198438 238932 264584 297657 396876 471227 477864 595314 793752 942454 1190628 1413681 1884908 2348183 2381256 2827362 3769816 4241043 4696366 5654724 7044549 8482086 9392732 11309448 14089098 16964172 18785464 21133647 28178196 33928344 42267294 56356392 84534588 169069176 219505501 439011002 658516503 878022004 1317033006 1756044008 1975549509 2634066012 3951099018 5268132024 7902198036 15584890571 15804396072 31169781142 46754671713 62339562284 93509343426 124679124568 140264015139 187018686852 280528030278 374037373704 561056060556 1122112121112