312552240000 has 1280 divisors, whose sum is σ = 1393995778560. Its totient is φ = 59904000000.

The previous prime is 312552239999. The next prime is 312552240061. The reversal of 312552240000 is 42255213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 240239350 + ... + 240240650.

It is an arithmetic number, because the mean of its divisors is an integer number (1089059202).

Almost surely, 2^312552240000 is an apocalyptic number.

312552240000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312552240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696997889280).

312552240000 is an abundant number, since it is smaller than the sum of its proper divisors (1081443538560).

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

312552240000 is a wasteful number, since it uses less digits than its factorization.

312552240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 312552240000 its reverse (42255213), we get a palindrome (312594495213).

The spelling of 312552240000 in words is "three hundred twelve billion, five hundred fifty-two million, two hundred forty thousand".