312404120210000 has 450 divisors, whose sum is σ = 952736396810022. Its totient is φ = 98870728320000.

The previous prime is 312404120209957. The next prime is 312404120210033. The reversal of 312404120210000 is 12021404213.

It can be written as a sum of positive squares in 15 ways, for example, as 247712469565456 + 64691650644544 = 15738884^2 + 8043112^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 80923730 + ... + 84696270.

Almost surely, 2^{312404120210000} 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 312404120210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476368198405011).

312404120210000 is an abundant number, since it is smaller than the sum of its proper divisors (640332276600022).

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

312404120210000 is a wasteful number, since it uses less digits than its factorization.

312404120210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3772609 (or 3772568 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 312404120210000 its reverse (12021404213), we get a palindrome (312416141614213).

The spelling of 312404120210000 in words is "three hundred twelve trillion, four hundred four billion, one hundred twenty million, two hundred ten thousand".