212211210112000 has 176 divisors, whose sum is σ = 577549692588960. Its totient is φ = 77167712256000.

The previous prime is 212211210111991. The next prime is 212211210112007. The reversal of 212211210112000 is 211012112212.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×212211210112000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (212211210112007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73951095 + ... + 76767094.

Almost surely, 2^{212211210112000} is an apocalyptic number.

212211210112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211210112000 is an abundant number, since it is smaller than the sum of its proper divisors (365338482476960).

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

212211210112000 is a wasteful number, since it uses less digits than its factorization.

212211210112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150718235 (or 150718207 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212211210112000 its reverse (211012112212), we get a palindrome (212422222224212).

The spelling of 212211210112000 in words is "two hundred twelve trillion, two hundred eleven billion, two hundred ten million, one hundred twelve thousand".