21242012024400 has 120 divisors (see below), whose sum is σ = 68581035009024. Its totient is φ = 5619933849600.

The previous prime is 21242012024381. The next prime is 21242012024419. The reversal of 21242012024400 is 442021024212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21242012024381) and next prime (21242012024419).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 69539241 + ... + 69844040.

Almost surely, 2^{21242012024400} is an apocalyptic number.

21242012024400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21242012024400 is an abundant number, since it is smaller than the sum of its proper divisors (47339022984624).

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

21242012024400 is a wasteful number, since it uses less digits than its factorization.

21242012024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139383429 (or 139383418 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 21242012024400 its reverse (442021024212), we get a palindrome (21684033048612).

The spelling of 21242012024400 in words is "twenty-one trillion, two hundred forty-two billion, twelve million, twenty-four thousand, four hundred".