212111122000 has 80 divisors (see below), whose sum is σ = 525394278864. Its totient is φ = 82775040000.

The previous prime is 212111121949. The next prime is 212111122033. The reversal of 212111122000 is 221111212.

212111122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 94374297616 + 117736824384 = 307204^2 + 343128^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×212111122000² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1211361 + ... + 1375360.

Almost surely, 2^212111122000 is an apocalyptic number.

212111122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111122000 is an abundant number, since it is smaller than the sum of its proper divisors (313283156864).

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

212111122000 is a wasteful number, since it uses less digits than its factorization.

212111122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586785 (or 2586769 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212111122000 its reverse (221111212), we get a palindrome (212332233212).

The spelling of 212111122000 in words is "two hundred twelve billion, one hundred eleven million, one hundred twenty-two thousand".