312424204013220 has 192 divisors, whose sum is σ = 948988948239360. Its totient is φ = 76340507622912.

The previous prime is 312424204013209. The next prime is 312424204013227. The reversal of 312424204013220 is 22310402424213.

It is a super-2 number, since 2×312424204013220² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (312424204013227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 792027759 + ... + 792422121.

It is an arithmetic number, because the mean of its divisors is an integer number (4942650772080).

Almost surely, 2^{312424204013220} is an apocalyptic number.

312424204013220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312424204013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474494474119680).

312424204013220 is an abundant number, since it is smaller than the sum of its proper divisors (636564744226140).

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

312424204013220 is a wasteful number, since it uses less digits than its factorization.

312424204013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401834 (or 401832 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 312424204013220 its reverse (22310402424213), we get a palindrome (334734606437433).

The spelling of 312424204013220 in words is "three hundred twelve trillion, four hundred twenty-four billion, two hundred four million, thirteen thousand, two hundred twenty".