121179120 has 80 divisors (see below), whose sum is σ = 377252640. Its totient is φ = 32177152.

The previous prime is 121179119. The next prime is 121179143. The reversal of 121179120 is 21971121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63622 + ... + 65498.

It is an arithmetic number, because the mean of its divisors is an integer number (4715658).

Almost surely, 2^121179120 is an apocalyptic number.

121179120 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 121179120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188626320).

121179120 is an abundant number, since it is smaller than the sum of its proper divisors (256073520).

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

121179120 is a wasteful number, since it uses less digits than its factorization.

121179120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 24.

The square root of 121179120 is about 11008.1388072644. The cubic root of 121179120 is about 494.8526854761.

The spelling of 121179120 in words is "one hundred twenty-one million, one hundred seventy-nine thousand, one hundred twenty".