21212132113200 has 120 divisors (see below), whose sum is σ = 77656605595648. Its totient is φ = 4848487338240.

The previous prime is 21212132113169. The next prime is 21212132113217. The reversal of 21212132113200 is 231123121212.

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

It is a super-2 number, since 2×21212132113200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1262618512 + ... + 1262635311.

Almost surely, 2^{21212132113200} is an apocalyptic number.

21212132113200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212132113200 is an abundant number, since it is smaller than the sum of its proper divisors (56444473482448).

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

21212132113200 is a wasteful number, since it uses less digits than its factorization.

21212132113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525253851 (or 2525253840 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 21212132113200 its reverse (231123121212), we get a palindrome (21443255234412).

The spelling of 21212132113200 in words is "twenty-one trillion, two hundred twelve billion, one hundred thirty-two million, one hundred thirteen thousand, two hundred".