212311111122000 has 480 divisors, whose sum is σ = 835971613975680. Its totient is φ = 51469358688000.

The previous prime is 212311111121981. The next prime is 212311111122001. The reversal of 212311111122000 is 221111113212.

It is a happy number.

212311111122000 is a `hidden beast` number, since 21 + 2 + 311 + 1 + 111 + 220 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212311111122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9712642 + ... + 22780641.

It is an arithmetic number, because the mean of its divisors is an integer number (1741607529116).

Almost surely, 2^{212311111122000} is an apocalyptic number.

212311111122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212311111122000 is an abundant number, since it is smaller than the sum of its proper divisors (623660502853680).

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

212311111122000 is a wasteful number, since it uses less digits than its factorization.

212311111122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32493337 (or 32493304 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 212311111122000 its reverse (221111113212), we get a palindrome (212532222235212).

The spelling of 212311111122000 in words is "two hundred twelve trillion, three hundred eleven billion, one hundred eleven million, one hundred twenty-two thousand".