312001114120400 has 240 divisors, whose sum is σ = 803559044643840. Its totient is φ = 116156212838400.

The previous prime is 312001114120379. The next prime is 312001114120417. The reversal of 312001114120400 is 4021411100213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90729197 + ... + 94105203.

It is an arithmetic number, because the mean of its divisors is an integer number (3348162686016).

Almost surely, 2^{312001114120400} 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 312001114120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401779522321920).

312001114120400 is an abundant number, since it is smaller than the sum of its proper divisors (491557930523440).

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

312001114120400 is a wasteful number, since it uses less digits than its factorization.

312001114120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376342 (or 3376331 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 312001114120400 its reverse (4021411100213), we get a palindrome (316022525220613).

The spelling of 312001114120400 in words is "three hundred twelve trillion, one billion, one hundred fourteen million, one hundred twenty thousand, four hundred".