312121296 has 80 divisors (see below), whose sum is σ = 903116800. Its totient is φ = 103203072.

The previous prime is 312121291. The next prime is 312121301. The reversal of 312121296 is 692121213.

It is an interprime number because it is at equal distance from previous prime (312121291) and next prime (312121301).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312121291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52020 + ... + 57708.

It is an arithmetic number, because the mean of its divisors is an integer number (11288960).

Almost surely, 2^312121296 is an apocalyptic number.

312121296 is a gapful number since it is divisible by the number (36) 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 312121296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451558400).

312121296 is an abundant number, since it is smaller than the sum of its proper divisors (590995504).

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

312121296 is a wasteful number, since it uses less digits than its factorization.

312121296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5833 (or 5821 counting only the distinct ones).

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

The square root of 312121296 is about 17666.9549158875. The cubic root of 312121296 is about 678.3301704595.

The spelling of 312121296 in words is "three hundred twelve million, one hundred twenty-one thousand, two hundred ninety-six".