111655599120 has 1280 divisors, whose sum is σ = 463437004800. Its totient is φ = 24455208960.

The previous prime is 111655599119. The next prime is 111655599161. The reversal of 111655599120 is 21995556111.

111655599120 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 5 + 559 + 91 + 2 + 0 = 666.

It is a super-2 number, since 2×111655599120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 711182082 + ... + 711182238.

It is an arithmetic number, because the mean of its divisors is an integer number (362060160).

Almost surely, 2^111655599120 is an apocalyptic number.

111655599120 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 111655599120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231718502400).

111655599120 is an abundant number, since it is smaller than the sum of its proper divisors (351781405680).

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

111655599120 is a wasteful number, since it uses less digits than its factorization.

111655599120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 45.

The spelling of 111655599120 in words is "one hundred eleven billion, six hundred fifty-five million, five hundred ninety-nine thousand, one hundred twenty".