312013022231040 has 480 divisors, whose sum is σ = 1133707142848896. Its totient is φ = 72760923095040.

The previous prime is 312013022231039. The next prime is 312013022231047. The reversal of 312013022231040 is 40132220310213.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×312013022231040² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 312013022231040.

It is not an unprimeable number, because it can be changed into a prime (312013022231047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31713805 + ... + 40370675.

Almost surely, 2^{312013022231040} is an apocalyptic number.

312013022231040 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 312013022231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566853571424448).

312013022231040 is an abundant number, since it is smaller than the sum of its proper divisors (821694120617856).

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

312013022231040 is a wasteful number, since it uses less digits than its factorization.

312013022231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8656948 (or 8656913 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 312013022231040 its reverse (40132220310213), we get a palindrome (352145242541253).

The spelling of 312013022231040 in words is "three hundred twelve trillion, thirteen billion, twenty-two million, two hundred thirty-one thousand, forty".