312200020 has 72 divisors (see below), whose sum is σ = 755038368. Its totient is φ = 107524800.

The previous prime is 312200017. The next prime is 312200023. The reversal of 312200020 is 20002213.

312200020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (312200017) and next prime (312200023).

It is a super-3 number, since 3×312200020³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312200023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77455 + ... + 81385.

It is an arithmetic number, because the mean of its divisors is an integer number (10486644).

Almost surely, 2^312200020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377519184).

312200020 is an abundant number, since it is smaller than the sum of its proper divisors (442838348).

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

312200020 is a wasteful number, since it uses less digits than its factorization.

312200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3989 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 312200020 is about 17669.1827768010. The cubic root of 312200020 is about 678.3871956994.

Adding to 312200020 its reverse (20002213), we get a palindrome (332202233).

The spelling of 312200020 in words is "three hundred twelve million, two hundred thousand, twenty".