212012112112000 has 64 divisors (see below), whose sum is σ = 527115113778240. Its totient is φ = 84804844838400.

The previous prime is 212012112111941. The next prime is 212012112112013. The reversal of 212012112112000 is 211211210212.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6625362504 + ... + 6625394503.

It is an arithmetic number, because the mean of its divisors is an integer number (8236173652785).

Almost surely, 2^{212012112112000} is an apocalyptic number.

212012112112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012112112000 is an abundant number, since it is smaller than the sum of its proper divisors (315103001666240).

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

212012112112000 is an equidigital number, since it uses as much as digits as its factorization.

212012112112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13250757036 (or 13250757014 counting only the distinct ones).

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

Adding to 212012112112000 its reverse (211211210212), we get a palindrome (212223323322212).

The spelling of 212012112112000 in words is "two hundred twelve trillion, twelve billion, one hundred twelve million, one hundred twelve thousand".