312142115040 has 96 divisors (see below), whose sum is σ = 1123711626240. Its totient is φ = 71346768384.

The previous prime is 312142115039. The next prime is 312142115041. The reversal of 312142115040 is 40511241213.

It is an interprime number because it is at equal distance from previous prime (312142115039) and next prime (312142115041).

It is a tau number, because it is divible by the number of its divisors (96).

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 312142115040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312142115041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46446360 + ... + 46453079.

It is an arithmetic number, because the mean of its divisors is an integer number (11705329440).

Almost surely, 2^312142115040 is an apocalyptic number.

312142115040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312142115040 is an abundant number, since it is smaller than the sum of its proper divisors (811569511200).

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

312142115040 is a wasteful number, since it uses less digits than its factorization.

312142115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92899464 (or 92899456 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 312142115040 its reverse (40511241213), we get a palindrome (352653356253).

The spelling of 312142115040 in words is "three hundred twelve billion, one hundred forty-two million, one hundred fifteen thousand, forty".