2121558011712 has 224 divisors, whose sum is σ = 6363453465600. Its totient is φ = 692925083136.

The previous prime is 2121558011701. The next prime is 2121558011731. The reversal of 2121558011712 is 2171108551212.

2121558011712 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 5 + 580 + 1 + 1 + 71 + 2 = 666.

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 31 ways as a sum of consecutive naturals, for example, 31265373 + ... + 31333155.

It is an arithmetic number, because the mean of its divisors is an integer number (28408274400).

Almost surely, 2^{2121558011712} 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 2121558011712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181726732800).

2121558011712 is an abundant number, since it is smaller than the sum of its proper divisors (4241895453888).

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

2121558011712 is a wasteful number, since it uses less digits than its factorization.

2121558011712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68170 (or 68154 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 36.

The spelling of 2121558011712 in words is "two trillion, one hundred twenty-one billion, five hundred fifty-eight million, eleven thousand, seven hundred twelve".