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12110113120 = 255722348487
BaseRepresentation
bin10110100011101000…
…11010100101100000
31011020222022111011011
423101310122211200
5144300142104440
65321401430304
7606046156150
oct132164324540
934228274134
1012110113120
115154930256
12241b79b394
1311acc09511
1482c4c2760
154ad2719ea
hex2d1d1a960

12110113120 has 96 divisors (see below), whose sum is σ = 32844607488. Its totient is φ = 4133334528.

The previous prime is 12110113117. The next prime is 12110113129. The reversal of 12110113120 is 2131101121.

It is a happy number.

It is a super-2 number, since 2×121101131202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12110113120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110113129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225517 + ... + 274003.

It is an arithmetic number, because the mean of its divisors is an integer number (342131328).

Almost surely, 212110113120 is an apocalyptic number.

12110113120 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 12110113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16422303744).

12110113120 is an abundant number, since it is smaller than the sum of its proper divisors (20734494368).

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

12110113120 is a wasteful number, since it uses less digits than its factorization.

12110113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48732 (or 48724 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 12110113120 its reverse (2131101121), we get a palindrome (14241214241).

The spelling of 12110113120 in words is "twelve billion, one hundred ten million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 223 224 280 446 560 892 1115 1120 1561 1784 2230 3122 3568 4460 6244 7136 7805 8920 12488 15610 17840 24976 31220 35680 48487 49952 62440 96974 124880 193948 242435 249760 339409 387896 484870 678818 775792 969740 1357636 1551584 1697045 1939480 2715272 3394090 3878960 5430544 6788180 7757920 10812601 10861088 13576360 21625202 27152720 43250404 54063005 54305440 75688207 86500808 108126010 151376414 173001616 216252020 302752828 346003232 378441035 432504040 605505656 756882070 865008080 1211011312 1513764140 1730016160 2422022624 3027528280 6055056560 12110113120