201134202324120 has 384 divisors, whose sum is σ = 747027569433600. Its totient is φ = 46554682217472.

The previous prime is 201134202324089. The next prime is 201134202324131. The reversal of 201134202324120 is 21423202431102.

201134202324120 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 3 + 420 + 232 + 4 + 1 + 2 + 0 = 666.

201134202324120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9484684 + ... + 22186203.

It is an arithmetic number, because the mean of its divisors is an integer number (1945384295400).

Almost surely, 2^{201134202324120} is an apocalyptic number.

201134202324120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201134202324120 is an abundant number, since it is smaller than the sum of its proper divisors (545893367109480).

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

201134202324120 is a wasteful number, since it uses less digits than its factorization.

201134202324120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31670999 (or 31670992 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 201134202324120 its reverse (21423202431102), we get a palindrome (222557404755222).

The spelling of 201134202324120 in words is "two hundred one trillion, one hundred thirty-four billion, two hundred two million, three hundred twenty-four thousand, one hundred twenty".