312000413121144 has 192 divisors, whose sum is σ = 941468822461440. Its totient is φ = 92530409498880.

The previous prime is 312000413121091. The next prime is 312000413121193. The reversal of 312000413121144 is 441121314000213.

It is a happy number.

312000413121144 is a `hidden beast` number, since 3 + 1 + 200 + 0 + 4 + 1 + 312 + 1 + 144 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1060476349 + ... + 1060770515.

It is an arithmetic number, because the mean of its divisors is an integer number (4903483450320).

Almost surely, 2^{312000413121144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312000413121144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470734411230720).

312000413121144 is an abundant number, since it is smaller than the sum of its proper divisors (629468409340296).

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

312000413121144 is a wasteful number, since it uses less digits than its factorization.

312000413121144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322730 (or 322723 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 312000413121144 its reverse (441121314000213), we get a palindrome (753121727121357).

The spelling of 312000413121144 in words is "three hundred twelve trillion, four hundred thirteen million, one hundred twenty-one thousand, one hundred forty-four".