212001010012000 has 192 divisors, whose sum is σ = 571214898229248. Its totient is φ = 76687654080000.

The previous prime is 212001010011977. The next prime is 212001010012027. The reversal of 212001010012000 is 210010100212.

It is a super-2 number, since 2×212001010012000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4209102 + ... + 21017101.

It is an arithmetic number, because the mean of its divisors is an integer number (2975077594944).

Almost surely, 2^{212001010012000} is an apocalyptic number.

212001010012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001010012000 is an abundant number, since it is smaller than the sum of its proper divisors (359213888217248).

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

212001010012000 is a wasteful number, since it uses less digits than its factorization.

212001010012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25226430 (or 25226412 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212001010012000 its reverse (210010100212), we get a palindrome (212211020112212).

The spelling of 212001010012000 in words is "two hundred twelve trillion, one billion, ten million, twelve thousand".