2120990479200 has 216 divisors, whose sum is σ = 7483174983648. Its totient is φ = 565292528640.

The previous prime is 2120990479123. The next prime is 2120990479241. The reversal of 2120990479200 is 29740990212.

It is a super-2 number, since 2×2120990479200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13435929 + ... + 13592871.

It is an arithmetic number, because the mean of its divisors is an integer number (34644328628).

Almost surely, 2^{2120990479200} is an apocalyptic number.

2120990479200 is a gapful number since it is divisible by the number (20) 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 2120990479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3741587491824).

2120990479200 is an abundant number, since it is smaller than the sum of its proper divisors (5362184504448).

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

2120990479200 is a wasteful number, since it uses less digits than its factorization.

2120990479200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158846 (or 158830 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 2120990479200 in words is "two trillion, one hundred twenty billion, nine hundred ninety million, four hundred seventy-nine thousand, two hundred".