21130251141120 has 816 divisors, whose sum is σ = 74675565268416. Its totient is φ = 5098176512000.

The previous prime is 21130251141053. The next prime is 21130251141133. The reversal of 21130251141120 is 2114115203112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 47698083619 + ... + 47698084061.

Almost surely, 2^{21130251141120} is an apocalyptic number.

21130251141120 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 21130251141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37337782634208).

21130251141120 is an abundant number, since it is smaller than the sum of its proper divisors (53545314127296).

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

21130251141120 is an equidigital number, since it uses as much as digits as its factorization.

21130251141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 21130251141120 its reverse (2114115203112), we get a palindrome (23244366344232).

The spelling of 21130251141120 in words is "twenty-one trillion, one hundred thirty billion, two hundred fifty-one million, one hundred forty-one thousand, one hundred twenty".