212401305312 has 96 divisors (see below), whose sum is σ = 646714559232. Its totient is φ = 59780312064.

The previous prime is 212401305307. The next prime is 212401305317. The reversal of 212401305312 is 213503104212.

It is an interprime number because it is at equal distance from previous prime (212401305307) and next prime (212401305317).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×212401305312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212401305317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2313733 + ... + 2403780.

It is an arithmetic number, because the mean of its divisors is an integer number (6736609992).

Almost surely, 2^212401305312 is an apocalyptic number.

It is an amenable number.

212401305312 is an abundant number, since it is smaller than the sum of its proper divisors (434313253920).

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

212401305312 is a wasteful number, since it uses less digits than its factorization.

212401305312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4717600 (or 4717592 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 212401305312 its reverse (213503104212), we get a palindrome (425904409524).

The spelling of 212401305312 in words is "two hundred twelve billion, four hundred one million, three hundred five thousand, three hundred twelve".