312900192 has 288 divisors, whose sum is σ = 1041677280. Its totient is φ = 91238400.

The previous prime is 312900097. The next prime is 312900193. The reversal of 312900192 is 291009213.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312900193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4286268 + ... + 4286340.

It is an arithmetic number, because the mean of its divisors is an integer number (3616935).

Almost surely, 2^312900192 is an apocalyptic number.

312900192 is a gapful number since it is divisible by the number (32) 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 312900192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520838640).

312900192 is an abundant number, since it is smaller than the sum of its proper divisors (728777088).

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

312900192 is a wasteful number, since it uses less digits than its factorization.

312900192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 312900192 is about 17688.9850471982. The cubic root of 312900192 is about 678.8939574391.

The spelling of 312900192 in words is "three hundred twelve million, nine hundred thousand, one hundred ninety-two".