121164360 has 64 divisors (see below), whose sum is σ = 370370880. Its totient is φ = 31699200.

The previous prime is 121164353. The next prime is 121164367. The reversal of 121164360 is 63461121.

It is an interprime number because it is at equal distance from previous prime (121164353) and next prime (121164367).

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

It is a self number, because there is not a number n which added to its sum of digits gives 121164360.

It is not an unprimeable number, because it can be changed into a prime (121164367) 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, 3166 + ... + 15885.

It is an arithmetic number, because the mean of its divisors is an integer number (5787045).

Almost surely, 2^121164360 is an apocalyptic number.

121164360 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 121164360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185185440).

121164360 is an abundant number, since it is smaller than the sum of its proper divisors (249206520).

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

121164360 is a wasteful number, since it uses less digits than its factorization.

121164360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19118 (or 19114 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 121164360 is about 11007.4683737906. The cubic root of 121164360 is about 494.8325931197.

The spelling of 121164360 in words is "one hundred twenty-one million, one hundred sixty-four thousand, three hundred sixty".