21121625607200 has 144 divisors (see below), whose sum is σ = 52108241421600. Its totient is φ = 8359384965120.

The previous prime is 21121625607161. The next prime is 21121625607221. The reversal of 21121625607200 is 270652612112.

It is a super-2 number, since 2×21121625607200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318049199 + ... + 318115601.

It is an arithmetic number, because the mean of its divisors is an integer number (361862787650).

Almost surely, 2^{21121625607200} is an apocalyptic number.

21121625607200 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 21121625607200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26054120710800).

21121625607200 is an abundant number, since it is smaller than the sum of its proper divisors (30986615814400).

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

21121625607200 is a wasteful number, since it uses less digits than its factorization.

21121625607200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70619 (or 70606 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 21121625607200 in words is "twenty-one trillion, one hundred twenty-one billion, six hundred twenty-five million, six hundred seven thousand, two hundred".