118901260800 has 1440 divisors, whose sum is σ = 520105377792. Its totient is φ = 26336378880.

The previous prime is 118901260741. The next prime is 118901260801. The reversal of 118901260800 is 8062109811.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (118901260801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 936230337 + ... + 936230463.

Almost surely, 2^118901260800 is an apocalyptic number.

118901260800 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 118901260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260052688896).

118901260800 is an abundant number, since it is smaller than the sum of its proper divisors (401204116992).

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

118901260800 is an equidigital number, since it uses as much as digits as its factorization.

118901260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 118901260800 in words is "one hundred eighteen billion, nine hundred one million, two hundred sixty thousand, eight hundred".