212101311312 has 120 divisors (see below), whose sum is σ = 675706269888. Its totient is φ = 61478630400.

The previous prime is 212101311293. The next prime is 212101311313. The reversal of 212101311312 is 213113101212.

212101311312 is a `hidden beast` number, since 21 + 21 + 0 + 1 + 311 + 312 = 666.

It is a super-2 number, since 2×212101311312² (a number of 23 digits) contains 22 as substring.

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 (212101311313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2874489 + ... + 2947352.

Almost surely, 2^212101311312 is an apocalyptic number.

212101311312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212101311312 is an abundant number, since it is smaller than the sum of its proper divisors (463604958576).

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

212101311312 is a wasteful number, since it uses less digits than its factorization.

212101311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5821889 (or 5821880 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 212101311312 its reverse (213113101212), we get a palindrome (425214412524).

The spelling of 212101311312 in words is "two hundred twelve billion, one hundred one million, three hundred eleven thousand, three hundred twelve".