21212113003200 has 252 divisors, whose sum is σ = 86163266728240. Its totient is φ = 4848482949120.

The previous prime is 21212113003177. The next prime is 21212113003223. The reversal of 21212113003200 is 230031121212.

21212113003200 is a `hidden beast` number, since 2 + 1 + 21 + 21 + 1 + 300 + 320 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21212113003177) and next prime (21212113003223).

It is a tau number, because it is divible by the number of its divisors (252).

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 35 ways as a sum of consecutive naturals, for example, 105118015 + ... + 105319614.

Almost surely, 2^{21212113003200} is an apocalyptic number.

21212113003200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212113003200 is an abundant number, since it is smaller than the sum of its proper divisors (64951153725040).

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

21212113003200 is a wasteful number, since it uses less digits than its factorization.

21212113003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210437664 (or 210437646 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21212113003200 its reverse (230031121212), we get a palindrome (21442144124412).

The spelling of 21212113003200 in words is "twenty-one trillion, two hundred twelve billion, one hundred thirteen million, three thousand, two hundred".