2131322123200 has 336 divisors, whose sum is σ = 5600913018624. Its totient is φ = 795473920000.

The previous prime is 2131322123173. The next prime is 2131322123213. The reversal of 2131322123200 is 23212231312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1795553007 + ... + 1795554193.

It is an arithmetic number, because the mean of its divisors is an integer number (16669383984).

Almost surely, 2^{2131322123200} is an apocalyptic number.

2131322123200 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 2131322123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800456509312).

2131322123200 is an abundant number, since it is smaller than the sum of its proper divisors (3469590895424).

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

2131322123200 is a wasteful number, since it uses less digits than its factorization.

2131322123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2131322123200 its reverse (23212231312), we get a palindrome (2154534354512).

It can be divided in two parts, 2131322 and 123200, that added together give a palindrome (2254522).

The spelling of 2131322123200 in words is "two trillion, one hundred thirty-one billion, three hundred twenty-two million, one hundred twenty-three thousand, two hundred".