312404104421220 has 288 divisors, whose sum is σ = 1023150579010560. Its totient is φ = 71014128864000.

The previous prime is 312404104421219. The next prime is 312404104421267. The reversal of 312404104421220 is 22124401404213.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 485981257 + ... + 486623663.

It is an arithmetic number, because the mean of its divisors is an integer number (3552606177120).

Almost surely, 2^{312404104421220} is an apocalyptic number.

312404104421220 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 312404104421220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511575289505280).

312404104421220 is an abundant number, since it is smaller than the sum of its proper divisors (710746474589340).

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

312404104421220 is a wasteful number, since it uses less digits than its factorization.

312404104421220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643343 (or 643334 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 312404104421220 its reverse (22124401404213), we get a palindrome (334528505825433).

The spelling of 312404104421220 in words is "three hundred twelve trillion, four hundred four billion, one hundred four million, four hundred twenty-one thousand, two hundred twenty".