312420104000 has 224 divisors, whose sum is σ = 790803112320. Its totient is φ = 122228736000.

The previous prime is 312420103997. The next prime is 312420104023. The reversal of 312420104000 is 401024213.

It is a self number, because there is not a number n which added to its sum of digits gives 312420104000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99590432 + ... + 99593568.

Almost surely, 2^312420104000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312420104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395401556160).

312420104000 is an abundant number, since it is smaller than the sum of its proper divisors (478383008320).

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

312420104000 is a wasteful number, since it uses less digits than its factorization.

312420104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3434 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 312420104000 its reverse (401024213), we get a palindrome (312821128213).

The spelling of 312420104000 in words is "three hundred twelve billion, four hundred twenty million, one hundred four thousand".