312000401043200 has 108 divisors (see below), whose sum is σ = 772411275618528. Its totient is φ = 124774055731200.

The previous prime is 312000401043181. The next prime is 312000401043269. The reversal of 312000401043200 is 2340104000213.

It is a super-2 number, since 2×312000401043200² (a number of 30 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 25515020 + ... + 35707380.

Almost surely, 2^{312000401043200} 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 312000401043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386205637809264).

312000401043200 is an abundant number, since it is smaller than the sum of its proper divisors (460410874575328).

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

312000401043200 is a wasteful number, since it uses less digits than its factorization.

312000401043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10197170 (or 10197151 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 312000401043200 its reverse (2340104000213), we get a palindrome (314340505043413).

The spelling of 312000401043200 in words is "three hundred twelve trillion, four hundred one million, forty-three thousand, two hundred".