312013363200 has 2304 divisors, whose sum is σ = 1422628945920. Its totient is φ = 58392576000.

The previous prime is 312013363157. The next prime is 312013363241. The reversal of 312013363200 is 2363310213.

It is a happy number.

It is a super-2 number, since 2×312013363200² (a number of 24 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 8432793582 + ... + 8432793618.

It is an arithmetic number, because the mean of its divisors is an integer number (617460480).

Almost surely, 2^312013363200 is an apocalyptic number.

312013363200 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 312013363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711314472960).

312013363200 is an abundant number, since it is smaller than the sum of its proper divisors (1110615582720).

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

312013363200 is a wasteful number, since it uses less digits than its factorization.

312013363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 312013363200 its reverse (2363310213), we get a palindrome (314376673413).

The spelling of 312013363200 in words is "three hundred twelve billion, thirteen million, three hundred sixty-three thousand, two hundred".