312000401010000 has 400 divisors, whose sum is σ = 1024429591595520. Its totient is φ = 81775573440000.

The previous prime is 312000401009959. The next prime is 312000401010041. The reversal of 312000401010000 is 10104000213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312000401009959) and next prime (312000401010041).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13315698285 + ... + 13315721715.

Almost surely, 2^{312000401010000} is an apocalyptic number.

312000401010000 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 312000401010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512214795797760).

312000401010000 is an abundant number, since it is smaller than the sum of its proper divisors (712429190585520).

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

312000401010000 is a wasteful number, since it uses less digits than its factorization.

312000401010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31044 (or 31023 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 312000401010000 its reverse (10104000213), we get a palindrome (312010505010213).

The spelling of 312000401010000 in words is "three hundred twelve trillion, four hundred one million, ten thousand".