21371630112000 has 2304 divisors, whose sum is σ = 93432559933440. Its totient is φ = 4709892096000.

The previous prime is 21371630111989. The next prime is 21371630112089. The reversal of 21371630112000 is 21103617312.

21371630112000 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 1 + 630 + 1 + 1 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19553183454 + ... + 19553184546.

It is an arithmetic number, because the mean of its divisors is an integer number (40552326360).

Almost surely, 2^{21371630112000} is an apocalyptic number.

21371630112000 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 21371630112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46716279966720).

21371630112000 is an abundant number, since it is smaller than the sum of its proper divisors (72060929821440).

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

21371630112000 is a wasteful number, since it uses less digits than its factorization.

21371630112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 21371630112000 its reverse (21103617312), we get a palindrome (21392733729312).

The spelling of 21371630112000 in words is "twenty-one trillion, three hundred seventy-one billion, six hundred thirty million, one hundred twelve thousand".