121797360 has 120 divisors (see below), whose sum is σ = 412317360. Its totient is φ = 32219136.

The previous prime is 121797359. The next prime is 121797383. The reversal of 121797360 is 63797121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99472 + ... + 100688.

It is an arithmetic number, because the mean of its divisors is an integer number (3435978).

Almost surely, 2^121797360 is an apocalyptic number.

121797360 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 121797360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206158680).

121797360 is an abundant number, since it is smaller than the sum of its proper divisors (290520000).

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

121797360 is a wasteful number, since it uses less digits than its factorization.

121797360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 121797360 is about 11036.1841231469. The cubic root of 121797360 is about 495.6928162105.

The spelling of 121797360 in words is "one hundred twenty-one million, seven hundred ninety-seven thousand, three hundred sixty".