2120012400400 has 30 divisors (see below), whose sum is σ = 5093329792922. Its totient is φ = 848004960000.

The previous prime is 2120012400383. The next prime is 2120012400419. The reversal of 2120012400400 is 40042100212.

It can be written as a sum of positive squares in 3 ways, for example, as 24802470144 + 2095209930256 = 157488^2 + 1447484^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2650015101 + ... + 2650015900.

Almost surely, 2^{2120012400400} is an apocalyptic number.

2120012400400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120012400400 is an abundant number, since it is smaller than the sum of its proper divisors (2973317392522).

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

2120012400400 is a wasteful number, since it uses less digits than its factorization.

2120012400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5300031019 (or 5300031008 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2120012400400 its reverse (40042100212), we get a palindrome (2160054500612).

The spelling of 2120012400400 in words is "two trillion, one hundred twenty billion, twelve million, four hundred thousand, four hundred".