121163680 has 96 divisors (see below), whose sum is σ = 319733568. Its totient is φ = 43008000.

The previous prime is 121163633. The next prime is 121163683. The reversal of 121163680 is 86361121.

It is a super-2 number, since 2×121163680² = 29361274702284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121163683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74880 + ... + 76480.

It is an arithmetic number, because the mean of its divisors is an integer number (3330558).

Almost surely, 2^121163680 is an apocalyptic number.

121163680 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 121163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159866784).

121163680 is an abundant number, since it is smaller than the sum of its proper divisors (198569888).

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

121163680 is a wasteful number, since it uses less digits than its factorization.

121163680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 121163680 is about 11007.4374856276. The cubic root of 121163680 is about 494.8316674163.

The spelling of 121163680 in words is "one hundred twenty-one million, one hundred sixty-three thousand, six hundred eighty".