312254120000 has 140 divisors (see below), whose sum is σ = 786988142556. Its totient is φ = 122853120000.

The previous prime is 312254119999. The next prime is 312254120023. The reversal of 312254120000 is 21452213.

It can be written as a sum of positive squares in 10 ways, for example, as 258129028096 + 54125091904 = 508064^2 + 232648^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2376014 + ... + 2503986.

Almost surely, 2^312254120000 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 312254120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393494071278).

312254120000 is an abundant number, since it is smaller than the sum of its proper divisors (474734022556).

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

312254120000 is an equidigital number, since it uses as much as digits as its factorization.

312254120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128066 (or 128041 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 312254120000 its reverse (21452213), we get a palindrome (312275572213).

The spelling of 312254120000 in words is "three hundred twelve billion, two hundred fifty-four million, one hundred twenty thousand".