21130111200000 has 864 divisors, whose sum is σ = 77768711483904. Its totient is φ = 5049856000000.

The previous prime is 21130111199983. The next prime is 21130111200047. The reversal of 21130111200000 is 211103112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1874394364 + ... + 1874405636.

It is an arithmetic number, because the mean of its divisors is an integer number (90010082736).

Almost surely, 2^{21130111200000} is an apocalyptic number.

21130111200000 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 21130111200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38884355741952).

21130111200000 is an abundant number, since it is smaller than the sum of its proper divisors (56638600283904).

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

21130111200000 is an equidigital number, since it uses as much as digits as its factorization.

21130111200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11399 (or 11365 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 21130111200000 its reverse (211103112), we get a palindrome (21130322303112).

The spelling of 21130111200000 in words is "twenty-one trillion, one hundred thirty billion, one hundred eleven million, two hundred thousand".