312321003142200 has 768 divisors, whose sum is σ = 1116209808000000. Its totient is φ = 71600346316800.

The previous prime is 312321003142189. The next prime is 312321003142207. The reversal of 312321003142200 is 2241300123213.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312321003142207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3672205276 + ... + 3672290324.

It is an arithmetic number, because the mean of its divisors is an integer number (1453398187500).

Almost surely, 2^{312321003142200} is an apocalyptic number.

312321003142200 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 312321003142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558104904000000).

312321003142200 is an abundant number, since it is smaller than the sum of its proper divisors (803888804857800).

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

312321003142200 is a wasteful number, since it uses less digits than its factorization.

312321003142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85520 (or 85511 counting only the distinct ones).

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

Adding to 312321003142200 its reverse (2241300123213), we get a palindrome (314562303265413).

The spelling of 312321003142200 in words is "three hundred twelve trillion, three hundred twenty-one billion, three million, one hundred forty-two thousand, two hundred".