312212010020 has 72 divisors (see below), whose sum is σ = 685048530600. Its totient is φ = 119382323200.

The previous prime is 312212010013. The next prime is 312212010029. The reversal of 312212010020 is 20010212213.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 52911076 + 312159098944 = 7274^2 + 558712^2 .

It is a junction number, because it is equal to n+sod(n) for n = 312212009977 and 312212010004.

It is not an unprimeable number, because it can be changed into a prime (312212010029) 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, 5890196 + ... + 5942964.

It is an arithmetic number, because the mean of its divisors is an integer number (9514562925).

Almost surely, 2^312212010020 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 312212010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342524265300).

312212010020 is an abundant number, since it is smaller than the sum of its proper divisors (372836520580).

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

312212010020 is a wasteful number, since it uses less digits than its factorization.

312212010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53009 (or 52906 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 312212010020 its reverse (20010212213), we get a palindrome (332222222233).

The spelling of 312212010020 in words is "three hundred twelve billion, two hundred twelve million, ten thousand, twenty".