2120999812800 has 672 divisors, whose sum is σ = 7946933649408. Its totient is φ = 490560000000.

The previous prime is 2120999812783. The next prime is 2120999812817. The reversal of 2120999812800 is 82189990212.

It is an interprime number because it is at equal distance from previous prime (2120999812783) and next prime (2120999812817).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116203675 + ... + 116221925.

Almost surely, 2^{2120999812800} is an apocalyptic number.

2120999812800 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 2120999812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973466824704).

2120999812800 is an abundant number, since it is smaller than the sum of its proper divisors (5825933836608).

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

2120999812800 is a wasteful number, since it uses less digits than its factorization.

2120999812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18389 (or 18374 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 51.

The spelling of 2120999812800 in words is "two trillion, one hundred twenty billion, nine hundred ninety-nine million, eight hundred twelve thousand, eight hundred".