312142898970 has 384 divisors, whose sum is σ = 1047700500480. Its totient is φ = 64649819520.

The previous prime is 312142898953. The next prime is 312142899001. The reversal of 312142898970 is 79898241213.

312142898970 is a `hidden beast` number, since 3 + 1 + 214 + 289 + 89 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 15682725 + ... + 15702615.

It is an arithmetic number, because the mean of its divisors is an integer number (2728386720).

Almost surely, 2^312142898970 is an apocalyptic number.

312142898970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312142898970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523850250240).

312142898970 is an abundant number, since it is smaller than the sum of its proper divisors (735557601510).

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

312142898970 is a wasteful number, since it uses less digits than its factorization.

312142898970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19975 (or 19950 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 312142898970 in words is "three hundred twelve billion, one hundred forty-two million, eight hundred ninety-eight thousand, nine hundred seventy".