312001421330400 has 144 divisors (see below), whose sum is σ = 1048324775920128. Its totient is φ = 80516495808000.

The previous prime is 312001421330393. The next prime is 312001421330419. The reversal of 312001421330400 is 4033124100213.

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 23 ways as a sum of consecutive naturals, for example, 2096709346 + ... + 2096858145.

It is an arithmetic number, because the mean of its divisors is an integer number (7280033166112).

Almost surely, 2^{312001421330400} is an apocalyptic number.

312001421330400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312001421330400 is an abundant number, since it is smaller than the sum of its proper divisors (736323354589728).

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

312001421330400 is a wasteful number, since it uses less digits than its factorization.

312001421330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193567545 (or 4193567532 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 312001421330400 its reverse (4033124100213), we get a palindrome (316034545430613).

The spelling of 312001421330400 in words is "three hundred twelve trillion, one billion, four hundred twenty-one million, three hundred thirty thousand, four hundred".