118961280 has 192 divisors, whose sum is σ = 432806400. Its totient is φ = 30025728.

The previous prime is 118961279. The next prime is 118961303. The reversal of 118961280 is 82169811.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×118961280² = 28303572278476800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 108897 + ... + 109983.

It is an arithmetic number, because the mean of its divisors is an integer number (2254200).

Almost surely, 2^118961280 is an apocalyptic number.

118961280 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 118961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216403200).

118961280 is an abundant number, since it is smaller than the sum of its proper divisors (313845120).

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

118961280 is a wasteful number, since it uses less digits than its factorization.

118961280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1116 counting only the distinct ones).

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

The square root of 118961280 is about 10906.9372419575. The cubic root of 118961280 is about 491.8151199072.

The spelling of 118961280 in words is "one hundred eighteen million, nine hundred sixty-one thousand, two hundred eighty".