119971238400 has 1680 divisors, whose sum is σ = 512447576256. Its totient is φ = 27590492160.

The previous prime is 119971238371. The next prime is 119971238417. The reversal of 119971238400 is 4832179911.

119971238400 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 7 + 1 + 238 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2790028779 + ... + 2790028821.

Almost surely, 2^119971238400 is an apocalyptic number.

119971238400 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 119971238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256223788128).

119971238400 is an abundant number, since it is smaller than the sum of its proper divisors (392476337856).

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

119971238400 is an equidigital number, since it uses as much as digits as its factorization.

119971238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 119971238400 in words is "one hundred nineteen billion, nine hundred seventy-one million, two hundred thirty-eight thousand, four hundred".