2120010431000 has 384 divisors, whose sum is σ = 6323466839040. Its totient is φ = 657833568000.

The previous prime is 2120010430991. The next prime is 2120010431003. The reversal of 2120010431000 is 1340100212.

It is a super-2 number, since 2×2120010431000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120010431003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122344337 + ... + 122361663.

It is an arithmetic number, because the mean of its divisors is an integer number (16467361560).

Almost surely, 2^{2120010431000} is an apocalyptic number.

2120010431000 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 2120010431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161733419520).

2120010431000 is an abundant number, since it is smaller than the sum of its proper divisors (4203456408040).

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

2120010431000 is a wasteful number, since it uses less digits than its factorization.

2120010431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17600 (or 17579 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2120010431000 its reverse (1340100212), we get a palindrome (2121350531212).

The spelling of 2120010431000 in words is "two trillion, one hundred twenty billion, ten million, four hundred thirty-one thousand".