119420400 has 240 divisors, whose sum is σ = 426222720. Its totient is φ = 28339200.

The previous prime is 119420383. The next prime is 119420419. The reversal of 119420400 is 4024911.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×119420400² = 28522463872320000, which contains 22 as substring.

It is a congruent number.

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, 1095546 + ... + 1095654.

It is an arithmetic number, because the mean of its divisors is an integer number (1775928).

Almost surely, 2^119420400 is an apocalyptic number.

119420400 is a gapful number since it is divisible by the number (10) 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 119420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213111360).

119420400 is an abundant number, since it is smaller than the sum of its proper divisors (306802320).

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

119420400 is a wasteful number, since it uses less digits than its factorization.

119420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 119420400 is about 10927.9641287845. The cubic root of 119420400 is about 492.4470126027.

The spelling of 119420400 in words is "one hundred nineteen million, four hundred twenty thousand, four hundred".