312001113341400 has 192 divisors, whose sum is σ = 1110202343097600. Its totient is φ = 71003122767360.

The previous prime is 312001113341387. The next prime is 312001113341447. The reversal of 312001113341400 is 4143311100213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 161234662 + ... + 163158261.

It is an arithmetic number, because the mean of its divisors is an integer number (5782303870300).

Almost surely, 2^{312001113341400} is an apocalyptic number.

312001113341400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312001113341400 is an abundant number, since it is smaller than the sum of its proper divisors (798201229756200).

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

312001113341400 is a wasteful number, since it uses less digits than its factorization.

312001113341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324393178 (or 324393169 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 312001113341400 its reverse (4143311100213), we get a palindrome (316144424441613).

The spelling of 312001113341400 in words is "three hundred twelve trillion, one billion, one hundred thirteen million, three hundred forty-one thousand, four hundred".