312313201200 has 1440 divisors, whose sum is σ = 1519522744320. Its totient is φ = 59889715200.

The previous prime is 312313201181. The next prime is 312313201217. The reversal of 312313201200 is 2102313213.

312313201200 is a `hidden beast` number, since 31 + 231 + 3 + 201 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 75673537 + ... + 75677663.

It is an arithmetic number, because the mean of its divisors is an integer number (1055224128).

Almost surely, 2^312313201200 is an apocalyptic number.

312313201200 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 312313201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759761372160).

312313201200 is an abundant number, since it is smaller than the sum of its proper divisors (1207209543120).

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

312313201200 is a wasteful number, since it uses less digits than its factorization.

312313201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 312313201200 its reverse (2102313213), we get a palindrome (314415514413).

The spelling of 312313201200 in words is "three hundred twelve billion, three hundred thirteen million, two hundred one thousand, two hundred".