119142400 has 144 divisors (see below), whose sum is σ = 319901400. Its totient is φ = 43745280.

The previous prime is 119142391. The next prime is 119142403. The reversal of 119142400 is 4241911.

It is a super-2 number, since 2×119142400² = 28389822955520000, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119142403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 665511 + ... + 665689.

Almost surely, 2^119142400 is an apocalyptic number.

119142400 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 119142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159950700).

119142400 is an abundant number, since it is smaller than the sum of its proper divisors (200759000).

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

119142400 is a wasteful number, since it uses less digits than its factorization.

119142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 119142400 is about 10915.2370565187. The cubic root of 119142400 is about 492.0645915154.

The spelling of 119142400 in words is "one hundred nineteen million, one hundred forty-two thousand, four hundred".