3129400120 has 256 divisors, whose sum is σ = 9461836800. Its totient is φ = 901570560.

The previous prime is 3129400091. The next prime is 3129400147. The reversal of 3129400120 is 210049213.

It is a super-2 number, since 2×3129400120² = 19586290222112028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3129400091 and 3129400100.

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 63 ways as a sum of consecutive naturals, for example, 3088734 + ... + 3089746.

It is an arithmetic number, because the mean of its divisors is an integer number (36960300).

Almost surely, 2^3129400120 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 3129400120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730918400).

3129400120 is an abundant number, since it is smaller than the sum of its proper divisors (6332436680).

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

3129400120 is a wasteful number, since it uses less digits than its factorization.

3129400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 3129400120 is about 55941.0414633121. The cubic root of 3129400120 is about 1462.6947355080.

Adding to 3129400120 its reverse (210049213), we get a palindrome (3339449333).

The spelling of 3129400120 in words is "three billion, one hundred twenty-nine million, four hundred thousand, one hundred twenty".