121830960 has 80 divisors (see below), whose sum is σ = 378832896. Its totient is φ = 32388864.

The previous prime is 121830953. The next prime is 121831013. The reversal of 121830960 is 69038121.

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 (30).

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, 111537 + ... + 112623.

Almost surely, 2^121830960 is an apocalyptic number.

121830960 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 121830960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189416448).

121830960 is an abundant number, since it is smaller than the sum of its proper divisors (257001936).

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

121830960 is a wasteful number, since it uses less digits than its factorization.

With its successor (121830961) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1564).

121830960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 121830960 is about 11037.7062834631. The cubic root of 121830960 is about 495.7383939562.

The spelling of 121830960 in words is "one hundred twenty-one million, eight hundred thirty thousand, nine hundred sixty".