10312210204000 has 96 divisors (see below), whose sum is σ = 25350689853216. Its totient is φ = 4122671731200.

The previous prime is 10312210203991. The next prime is 10312210204027. The reversal of 10312210204000 is 40201221301.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6777574 + ... + 8158426.

It is an arithmetic number, because the mean of its divisors is an integer number (264069685971).

Almost surely, 2^{10312210204000} is an apocalyptic number.

10312210204000 is a gapful number since it is divisible by the number (10) 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 10312210204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12675344926608).

10312210204000 is an abundant number, since it is smaller than the sum of its proper divisors (15038479649216).

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

10312210204000 is a wasteful number, since it uses less digits than its factorization.

10312210204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382745 (or 1382727 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10312210204000 its reverse (40201221301), we get a palindrome (10352411425301).

The spelling of 10312210204000 in words is "ten trillion, three hundred twelve billion, two hundred ten million, two hundred four thousand".