312203021020000 has 960 divisors, whose sum is σ = 857145038637888. Its totient is φ = 110960640000000.

The previous prime is 312203021019971. The next prime is 312203021020027. The reversal of 312203021020000 is 20120302213.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 926418459832 + ... + 926418460168.

Almost surely, 2^{312203021020000} 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 312203021020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428572519318944).

312203021020000 is an abundant number, since it is smaller than the sum of its proper divisors (544942017617888).

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

312203021020000 is a wasteful number, since it uses less digits than its factorization.

312203021020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 312203021020000 its reverse (20120302213), we get a palindrome (312223141322213).

The spelling of 312203021020000 in words is "three hundred twelve trillion, two hundred three billion, twenty-one million, twenty thousand".