312434120000 has 280 divisors, whose sum is σ = 804414504960. Its totient is φ = 120234240000.

The previous prime is 312434119993. The next prime is 312434120051. The reversal of 312434120000 is 21434213.

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 39 ways as a sum of consecutive naturals, for example, 244279361 + ... + 244280639.

Almost surely, 2^312434120000 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 312434120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402207252480).

312434120000 is an abundant number, since it is smaller than the sum of its proper divisors (491980384960).

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

312434120000 is a wasteful number, since it uses less digits than its factorization.

312434120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1514 counting only the distinct ones).

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

Adding to 312434120000 its reverse (21434213), we get a palindrome (312455554213).

The spelling of 312434120000 in words is "three hundred twelve billion, four hundred thirty-four million, one hundred twenty thousand".