312130098 has 168 divisors, whose sum is σ = 867977532. Its totient is φ = 83607552.

The previous prime is 312130087. The next prime is 312130109. The reversal of 312130098 is 890031213.

It is an interprime number because it is at equal distance from previous prime (312130087) and next prime (312130109).

It can be written as a sum of positive squares in 2 ways, for example, as 246081969 + 66048129 = 15687^2 + 8127^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1214386 + ... + 1214642.

Almost surely, 2^312130098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312130098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433988766).

312130098 is an abundant number, since it is smaller than the sum of its proper divisors (555847434).

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

312130098 is a wasteful number, since it uses less digits than its factorization.

312130098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 312130098 is about 17667.2040232743. The cubic root of 312130098 is about 678.3365468332.

The spelling of 312130098 in words is "three hundred twelve million, one hundred thirty thousand, ninety-eight".