3121630020 has 144 divisors (see below), whose sum is σ = 9808501248. Its totient is φ = 803093760.

The previous prime is 3121630019. The next prime is 3121630069. The reversal of 3121630020 is 200361213.

3121630020 is a `hidden beast` number, since 3 + 12 + 1 + 630 + 0 + 20 = 666.

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 = 3121629975 and 3121630002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 598062 + ... + 603258.

It is an arithmetic number, because the mean of its divisors is an integer number (68114592).

Almost surely, 2^3121630020 is an apocalyptic number.

3121630020 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 3121630020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904250624).

3121630020 is an abundant number, since it is smaller than the sum of its proper divisors (6686871228).

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

3121630020 is a wasteful number, since it uses less digits than its factorization.

3121630020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5330 (or 5325 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3121630020 is about 55871.5492894192. The cubic root of 3121630020 is about 1461.4831397442.

Adding to 3121630020 its reverse (200361213), we get a palindrome (3321991233).

The spelling of 3121630020 in words is "three billion, one hundred twenty-one million, six hundred thirty thousand, twenty".