2112135535152 has 120 divisors (see below), whose sum is σ = 5934380852400. Its totient is φ = 701269954560.

The previous prime is 2112135535079. The next prime is 2112135535171. The reversal of 2112135535152 is 2515355312112.

2112135535152 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 1 + 3 + 553 + 51 + 52 = 666.

It is a super-2 number, since 2×2112135535152² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50885127 + ... + 50926617.

It is an arithmetic number, because the mean of its divisors is an integer number (49453173770).

Almost surely, 2^{2112135535152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112135535152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967190426200).

2112135535152 is an abundant number, since it is smaller than the sum of its proper divisors (3822245317248).

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

2112135535152 is a wasteful number, since it uses less digits than its factorization.

2112135535152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42891 (or 42882 counting only the distinct ones).

The product of its digits is 45000, while the sum is 36.

The spelling of 2112135535152 in words is "two trillion, one hundred twelve billion, one hundred thirty-five million, five hundred thirty-five thousand, one hundred fifty-two".