312012311651040 has 4608 divisors, whose sum is σ = 1428016988160000. Its totient is φ = 56631017963520.

The previous prime is 312012311651021. The next prime is 312012311651041. The reversal of 312012311651040 is 40156113210213.

It is a super-2 number, since 2×312012311651040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 312012311650989 and 312012311651007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312012311651041) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 894018084786 + ... + 894018085134.

It is an arithmetic number, because the mean of its divisors is an integer number (309899520000).

Almost surely, 2^{312012311651040} is an apocalyptic number.

312012311651040 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 312012311651040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714008494080000).

312012311651040 is an abundant number, since it is smaller than the sum of its proper divisors (1116004676508960).

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

312012311651040 is a wasteful number, since it uses less digits than its factorization.

312012311651040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 312012311651040 its reverse (40156113210213), we get a palindrome (352168424861253).

The spelling of 312012311651040 in words is "three hundred twelve trillion, twelve billion, three hundred eleven million, six hundred fifty-one thousand, forty".