212111212122000 has 240 divisors, whose sum is σ = 773043925200768. Its totient is φ = 54103729363200.

The previous prime is 212111212121989. The next prime is 212111212122053. The reversal of 212111212122000 is 221212111212.

212111212122000 is a `hidden beast` number, since 21 + 211 + 1 + 21 + 212 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255758962 + ... + 256586961.

Almost surely, 2^{212111212122000} is an apocalyptic number.

212111212122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111212122000 is an abundant number, since it is smaller than the sum of its proper divisors (560932713078768).

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

212111212122000 is a wasteful number, since it uses less digits than its factorization.

212111212122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512345975 (or 512345956 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212111212122000 its reverse (221212111212), we get a palindrome (212332424233212).

The spelling of 212111212122000 in words is "two hundred twelve trillion, one hundred eleven billion, two hundred twelve million, one hundred twenty-two thousand".