2120011000992 has 144 divisors (see below), whose sum is σ = 6348159941760. Its totient is φ = 669258326016.

The previous prime is 2120011000979. The next prime is 2120011000993. The reversal of 2120011000992 is 2990001100212.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2120011000993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17103913 + ... + 17227415.

It is an arithmetic number, because the mean of its divisors is an integer number (44084444040).

Almost surely, 2^{2120011000992} 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 2120011000992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174079970880).

2120011000992 is an abundant number, since it is smaller than the sum of its proper divisors (4228148940768).

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

2120011000992 is a wasteful number, since it uses less digits than its factorization.

2120011000992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126675 (or 126664 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 2120011000992 in words is "two trillion, one hundred twenty billion, eleven million, nine hundred ninety-two", and thus it is an aban number.