212011122122000 has 80 divisors (see below), whose sum is σ = 512648327073792. Its totient is φ = 84803549961600.

The previous prime is 212011122121999. The next prime is 212011122122029. The reversal of 212011122122000 is 221221110212.

212011122122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212011122122000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207416177 + ... + 208435823.

Almost surely, 2^{212011122122000} is an apocalyptic number.

212011122122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011122122000 is an abundant number, since it is smaller than the sum of its proper divisors (300637204951792).

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

212011122122000 is a wasteful number, since it uses less digits than its factorization.

212011122122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123633 (or 1123617 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212011122122000 its reverse (221221110212), we get a palindrome (212232343232212).

The spelling of 212011122122000 in words is "two hundred twelve trillion, eleven billion, one hundred twenty-two million, one hundred twenty-two thousand".