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1231120000 = 2754111399
BaseRepresentation
bin100100101100001…
…0110011010000000
310011210120101011001
41021120112122000
510010131320000
6322055101344
742336230065
oct11130263200
93153511131
101231120000
11581a31750
122a4371854
1316809c196
14b9710c6c
157313646a
hex49616680

1231120000 has 160 divisors (see below), whose sum is σ = 3345804000. Its totient is φ = 447360000.

The previous prime is 1231119983. The next prime is 1231120003. The reversal of 1231120000 is 211321.

1231120000 is digitally balanced in base 6, 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 (160).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1231120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 879301 + ... + 880699.

It is an arithmetic number, because the mean of its divisors is an integer number (20911275).

Almost surely, 21231120000 is an apocalyptic number.

1231120000 is a gapful number since it is divisible by the number (10) 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 1231120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672902000).

1231120000 is an abundant number, since it is smaller than the sum of its proper divisors (2114684000).

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

1231120000 is an equidigital number, since it uses as much as digits as its factorization.

1231120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1231120000 is about 35087.3196468468. The cubic root of 1231120000 is about 1071.7663781391.

Adding to 1231120000 its reverse (211321), we get a palindrome (1231331321).

The spelling of 1231120000 in words is "one billion, two hundred thirty-one million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1399 1408 1600 1760 2000 2200 2500 2750 2798 3200 3520 4000 4400 5000 5500 5596 6875 6995 7040 8000 8800 10000 11000 11192 13750 13990 15389 16000 17600 20000 22000 22384 27500 27980 30778 34975 35200 40000 44000 44768 55000 55960 61556 69950 76945 80000 88000 89536 110000 111920 123112 139900 153890 174875 176000 179072 220000 223840 246224 279800 307780 349750 384725 440000 447680 492448 559600 615560 699500 769450 874375 880000 895360 984896 1119200 1231120 1399000 1538900 1748750 1923625 1969792 2238400 2462240 2798000 3077800 3497500 3847250 4476800 4924480 5596000 6155600 6995000 7694500 9618125 9848960 11192000 12311200 13990000 15389000 19236250 22384000 24622400 27980000 30778000 38472500 49244800 55960000 61556000 76945000 111920000 123112000 153890000 246224000 307780000 615560000 1231120000