312232210020 has 144 divisors (see below), whose sum is σ = 972165121200. Its totient is φ = 81085824000.

The previous prime is 312232210019. The next prime is 312232210021. The reversal of 312232210020 is 20012232213.

312232210020 is a `hidden beast` number, since 312 + 2 + 322 + 10 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (312232210019) and next prime (312232210021).

It can be written as a sum of positive squares in 8 ways, for example, as 2766970404 + 309465239616 = 52602^2 + 556296^2 .

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 = 312232209975 and 312232210002.

It is not an unprimeable number, because it can be changed into a prime (312232210021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 968206 + ... + 1249754.

It is an arithmetic number, because the mean of its divisors is an integer number (6751146675).

Almost surely, 2^312232210020 is an apocalyptic number.

312232210020 is a gapful number since it is divisible by the number (30) 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 312232210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486082560600).

312232210020 is an abundant number, since it is smaller than the sum of its proper divisors (659932911180).

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

312232210020 is a wasteful number, since it uses less digits than its factorization.

312232210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281726 (or 281721 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 312232210020 its reverse (20012232213), we get a palindrome (332244442233).

The spelling of 312232210020 in words is "three hundred twelve billion, two hundred thirty-two million, two hundred ten thousand, twenty".