3126156120 has 224 divisors, whose sum is σ = 10775056320. Its totient is φ = 815546880.

The previous prime is 3126156119. The next prime is 3126156217. The reversal of 3126156120 is 216516213.

3126156120 is a `hidden beast` number, since 31 + 2 + 6 + 15 + 612 + 0 = 666.

It is a super-2 number, since 2×3126156120² = 19545704173226908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1369380 + ... + 1371660.

It is an arithmetic number, because the mean of its divisors is an integer number (48102930).

Almost surely, 2^3126156120 is an apocalyptic number.

3126156120 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 3126156120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387528160).

3126156120 is an abundant number, since it is smaller than the sum of its proper divisors (7648900200).

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

3126156120 is a wasteful number, since it uses less digits than its factorization.

3126156120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3126156120 is about 55912.0391329095. The cubic root of 3126156120 is about 1462.1891410312.

The spelling of 3126156120 in words is "three billion, one hundred twenty-six million, one hundred fifty-six thousand, one hundred twenty".