121182680320 has 432 divisors, whose sum is σ = 343864507392. Its totient is φ = 40715550720.

The previous prime is 121182680317. The next prime is 121182680327. The reversal of 121182680320 is 23086281121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121182680327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114000109 + ... + 114001171.

It is an arithmetic number, because the mean of its divisors is an integer number (795982656).

Almost surely, 2^121182680320 is an apocalyptic number.

121182680320 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 121182680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171932253696).

121182680320 is an abundant number, since it is smaller than the sum of its proper divisors (222681827072).

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

121182680320 is a wasteful number, since it uses less digits than its factorization.

121182680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 121182680320 in words is "one hundred twenty-one billion, one hundred eighty-two million, six hundred eighty thousand, three hundred twenty".