21131440412200 has 192 divisors, whose sum is σ = 52881211033200. Its totient is φ = 7824826368000.

The previous prime is 21131440412197. The next prime is 21131440412221. The reversal of 21131440412200 is 221404413112.

It can be written as a sum of positive squares in 24 ways, for example, as 746630790084 + 20384809622116 = 864078^2 + 4514954^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 50564100 + ... + 50980300.

Almost surely, 2^{21131440412200} is an apocalyptic number.

21131440412200 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 21131440412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26440605516600).

21131440412200 is an abundant number, since it is smaller than the sum of its proper divisors (31749770621000).

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

21131440412200 is a wasteful number, since it uses less digits than its factorization.

21131440412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416480 (or 416471 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 21131440412200 its reverse (221404413112), we get a palindrome (21352844825312).

The spelling of 21131440412200 in words is "twenty-one trillion, one hundred thirty-one billion, four hundred forty million, four hundred twelve thousand, two hundred".