312211313040 has 80 divisors (see below), whose sum is σ = 1055841903936. Its totient is φ = 75687590400.

The previous prime is 312211313039. The next prime is 312211313041. The reversal of 312211313040 is 40313112213.

It is an interprime number because it is at equal distance from previous prime (312211313039) and next prime (312211313041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 312211312998 and 312211313016.

It is not an unprimeable number, because it can be changed into a prime (312211313041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59128291 + ... + 59133570.

Almost surely, 2^312211313040 is an apocalyptic number.

312211313040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312211313040 is an abundant number, since it is smaller than the sum of its proper divisors (743630590896).

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

312211313040 is a wasteful number, since it uses less digits than its factorization.

312211313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118261888 (or 118261882 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 312211313040 its reverse (40313112213), we get a palindrome (352524425253).

The spelling of 312211313040 in words is "three hundred twelve billion, two hundred eleven million, three hundred thirteen thousand, forty".