212311221301200 has 120 divisors (see below), whose sum is σ = 777261271156288. Its totient is φ = 48528279152640.

The previous prime is 212311221301147. The next prime is 212311221301211. The reversal of 212311221301200 is 2103122113212.

212311221301200 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 (120).

It is a super-2 number, since 2×212311221301200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12637564297 + ... + 12637581096.

Almost surely, 2^{212311221301200} is an apocalyptic number.

212311221301200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212311221301200 is an abundant number, since it is smaller than the sum of its proper divisors (564950049855088).

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

212311221301200 is a wasteful number, since it uses less digits than its factorization.

212311221301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25275145421 (or 25275145410 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 212311221301200 its reverse (2103122113212), we get a palindrome (214414343414412).

The spelling of 212311221301200 in words is "two hundred twelve trillion, three hundred eleven billion, two hundred twenty-one million, three hundred one thousand, two hundred".