3112135020 has 144 divisors (see below), whose sum is σ = 10305335040. Its totient is φ = 786200256.

The previous prime is 3112134997. The next prime is 3112135021. The reversal of 3112135020 is 205312113.

3112135020 is a `hidden beast` number, since 311 + 2 + 1 + 350 + 2 + 0 = 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 = 3112134984 and 3112135002.

It is not an unprimeable number, because it can be changed into a prime (3112135021) 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, 75489 + ... + 109191.

Almost surely, 2^3112135020 is an apocalyptic number.

3112135020 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 3112135020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152667520).

3112135020 is an abundant number, since it is smaller than the sum of its proper divisors (7193200020).

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

3112135020 is a wasteful number, since it uses less digits than its factorization.

3112135020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33746 (or 33732 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 3112135020 is about 55786.5128861807. The cubic root of 3112135020 is about 1459.9998467505. Note that the first 3 decimals are identical.

Adding to 3112135020 its reverse (205312113), we get a palindrome (3317447133).

The spelling of 3112135020 in words is "three billion, one hundred twelve million, one hundred thirty-five thousand, twenty".