312152220 has 36 divisors (see below), whose sum is σ = 946862280. Its totient is φ = 83240544.

The previous prime is 312152209. The next prime is 312152227. The reversal of 312152220 is 22251213.

312152220 is a `hidden beast` number, since 3 + 121 + 522 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312152193 and 312152202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312152227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 866910 + ... + 867269.

It is an arithmetic number, because the mean of its divisors is an integer number (26301730).

Almost surely, 2^312152220 is an apocalyptic number.

312152220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312152220 is an abundant number, since it is smaller than the sum of its proper divisors (634710060).

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

312152220 is a wasteful number, since it uses less digits than its factorization.

312152220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734194 (or 1734189 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 312152220 is about 17667.8300874782. The cubic root of 312152220 is about 678.3525719956.

The spelling of 312152220 in words is "three hundred twelve million, one hundred fifty-two thousand, two hundred twenty".