120419124 has 96 divisors (see below), whose sum is σ = 331978752. Its totient is φ = 33264000.

The previous prime is 120419087. The next prime is 120419137. The reversal of 120419124 is 421914021.

It is a junction number, because it is equal to n+sod(n) for n = 120419094 and 120419103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363639 + ... + 363969.

It is an arithmetic number, because the mean of its divisors is an integer number (3458112).

Almost surely, 2^120419124 is an apocalyptic number.

120419124 is a gapful number since it is divisible by the number (14) 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 120419124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165989376).

120419124 is an abundant number, since it is smaller than the sum of its proper divisors (211559628).

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

120419124 is a wasteful number, since it uses less digits than its factorization.

120419124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 120419124 is about 10973.5647808723. The cubic root of 120419124 is about 493.8159968610.

The spelling of 120419124 in words is "one hundred twenty million, four hundred nineteen thousand, one hundred twenty-four".