21202112131200 has 5184 divisors, whose sum is σ = 106450958577600. Its totient is φ = 3928360550400.

The previous prime is 21202112131181. The next prime is 21202112131219. The reversal of 21202112131200 is 213121120212.

21202112131200 is a `hidden beast` number, since 2 + 120 + 211 + 2 + 131 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (21202112131181) and next prime (21202112131219).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 152533180731 + ... + 152533180869.

Almost surely, 2^{21202112131200} is an apocalyptic number.

21202112131200 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 21202112131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53225479288800).

21202112131200 is an abundant number, since it is smaller than the sum of its proper divisors (85248846446400).

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

21202112131200 is a wasteful number, since it uses less digits than its factorization.

21202112131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21202112131200 its reverse (213121120212), we get a palindrome (21415233251412).

It can be divided in two parts, 21202112 and 131200, that added together give a palindrome (21333312).

The spelling of 21202112131200 in words is "twenty-one trillion, two hundred two billion, one hundred twelve million, one hundred thirty-one thousand, two hundred".