111010505005152 has 240 divisors, whose sum is σ = 330675833759040. Its totient is φ = 36527988676608.

The previous prime is 111010505005151. The next prime is 111010505005157. The reversal of 111010505005152 is 251500505010111.

It is a happy number.

111010505005152 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 1 + 0 + 5 + 0 + 500 + 5 + 152 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111010505005151) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1108359108 + ... + 1108459260.

It is an arithmetic number, because the mean of its divisors is an integer number (1377815973996).

Almost surely, 2^{111010505005152} is an apocalyptic number.

111010505005152 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 111010505005152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165337916879520).

111010505005152 is an abundant number, since it is smaller than the sum of its proper divisors (219665328753888).

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

111010505005152 is a wasteful number, since it uses less digits than its factorization.

111010505005152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105667 (or 105650 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 27.

The spelling of 111010505005152 in words is "one hundred eleven trillion, ten billion, five hundred five million, five thousand, one hundred fifty-two".