312231456460000 has 1080 divisors, whose sum is σ = 983523471594048. Its totient is φ = 97184102400000.

The previous prime is 312231456459959. The next prime is 312231456460009. The reversal of 312231456460000 is 64654132213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312231456460009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 117512778672 + ... + 117512781328.

Almost surely, 2^{312231456460000} 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 312231456460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491761735797024).

312231456460000 is an abundant number, since it is smaller than the sum of its proper divisors (671292015134048).

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

312231456460000 is a wasteful number, since it uses less digits than its factorization.

312231456460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3714 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 312231456460000 in words is "three hundred twelve trillion, two hundred thirty-one billion, four hundred fifty-six million, four hundred sixty thousand".