12118634035200 has 4608 divisors, whose sum is σ = 60684015974400. Its totient is φ = 2293235712000.

The previous prime is 12118634035169. The next prime is 12118634035213. The reversal of 12118634035200 is 253043681121.

12118634035200 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 86 + 340 + 35 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×12118634035200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 66953779110 + ... + 66953779290.

It is an arithmetic number, because the mean of its divisors is an integer number (13169274300).

Almost surely, 2^{12118634035200} is an apocalyptic number.

12118634035200 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 12118634035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30342007987200).

12118634035200 is an abundant number, since it is smaller than the sum of its proper divisors (48565381939200).

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

12118634035200 is a wasteful number, since it uses less digits than its factorization.

12118634035200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12118634035200 in words is "twelve trillion, one hundred eighteen billion, six hundred thirty-four million, thirty-five thousand, two hundred".