121180080 has 160 divisors (see below), whose sum is σ = 454685184. Its totient is φ = 26062848.

The previous prime is 121180079. The next prime is 121180121. The reversal of 121180080 is 80081121.

It is a super-2 number, since 2×121180080² = 29369223577612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26439 + ... + 30681.

Almost surely, 2^121180080 is an apocalyptic number.

121180080 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 121180080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227342592).

121180080 is an abundant number, since it is smaller than the sum of its proper divisors (333505104).

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

121180080 is a wasteful number, since it uses less digits than its factorization.

121180080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4283 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 121180080 is about 11008.1824112793. The cubic root of 121180080 is about 494.8539922396.

The spelling of 121180080 in words is "one hundred twenty-one million, one hundred eighty thousand, eighty".