312000412223040 has 112 divisors (see below), whose sum is σ = 992722512180672. Its totient is φ = 83021951113216.

The previous prime is 312000412223029. The next prime is 312000412223041. The reversal of 312000412223040 is 40322214000213.

It is a happy number.

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 312000412223040.

It is not an unprimeable number, because it can be changed into a prime (312000412223041) 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, 347517879 + ... + 348414518.

It is an arithmetic number, because the mean of its divisors is an integer number (8863593858756).

Almost surely, 2^{312000412223040} is an apocalyptic number.

312000412223040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312000412223040 is an abundant number, since it is smaller than the sum of its proper divisors (680722099957632).

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

312000412223040 is a wasteful number, since it uses less digits than its factorization.

312000412223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695932884 (or 695932874 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 312000412223040 its reverse (40322214000213), we get a palindrome (352322626223253).

The spelling of 312000412223040 in words is "three hundred twelve trillion, four hundred twelve million, two hundred twenty-three thousand, forty".