111355413120 has 1024 divisors, whose sum is σ = 468840960000. Its totient is φ = 24449236992.

The previous prime is 111355413119. The next prime is 111355413121. The reversal of 111355413120 is 21314553111.

111355413120 is a `hidden beast` number, since 1 + 113 + 5 + 541 + 3 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (111355413119) and next prime (111355413121).

It is a super-2 number, since 2×111355413120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (111355413121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 622097191 + ... + 622097369.

It is an arithmetic number, because the mean of its divisors is an integer number (457852500).

Almost surely, 2^111355413120 is an apocalyptic number.

111355413120 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 111355413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480000).

111355413120 is an abundant number, since it is smaller than the sum of its proper divisors (357485546880).

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

111355413120 is a wasteful number, since it uses less digits than its factorization.

111355413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 111355413120 its reverse (21314553111), we get a palindrome (132669966231).

The spelling of 111355413120 in words is "one hundred eleven billion, three hundred fifty-five million, four hundred thirteen thousand, one hundred twenty".