121760120 has 64 divisors (see below), whose sum is σ = 292416480. Its totient is φ = 45469696.

The previous prime is 121760117. The next prime is 121760147. The reversal of 121760120 is 21067121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121760092 and 121760101.

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, 92507 + ... + 93813.

Almost surely, 2^121760120 is an apocalyptic number.

121760120 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 121760120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146208240).

121760120 is an abundant number, since it is smaller than the sum of its proper divisors (170656360).

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

121760120 is a wasteful number, since it uses less digits than its factorization.

121760120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 121760120 is about 11034.4968168014. The cubic root of 121760120 is about 495.6422910810.

The spelling of 121760120 in words is "one hundred twenty-one million, seven hundred sixty thousand, one hundred twenty".