2120010400431 has 144 divisors (see below), whose sum is σ = 4124636006400. Its totient is φ = 1023396042240.

The previous prime is 2120010400357. The next prime is 2120010400439. The reversal of 2120010400431 is 1340040100212.

2120010400431 is a `hidden beast` number, since 21 + 200 + 1 + 0 + 400 + 43 + 1 = 666.

It is not a de Polignac number, because 2120010400431 - 2¹¹ = 2120010398383 is a prime.

It is a super-2 number, since 2×2120010400431² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120010400439) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10134150 + ... + 10341228.

It is an arithmetic number, because the mean of its divisors is an integer number (28643305600).

Almost surely, 2^{2120010400431} is an apocalyptic number.

2120010400431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2120010400431 is a deficient number, since it is larger than the sum of its proper divisors (2004625605969).

2120010400431 is a wasteful number, since it uses less digits than its factorization.

2120010400431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207210 (or 207196 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2120010400431 its reverse (1340040100212), we get a palindrome (3460050500643).

The spelling of 2120010400431 in words is "two trillion, one hundred twenty billion, ten million, four hundred thousand, four hundred thirty-one".