121182920 has 64 divisors (see below), whose sum is σ = 282597120. Its totient is φ = 46738944.

The previous prime is 121182869. The next prime is 121182923. The reversal of 121182920 is 29281121.

It is a self number, because there is not a number n which added to its sum of digits gives 121182920.

It is not an unprimeable number, because it can be changed into a prime (121182923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136799 + ... + 137681.

It is an arithmetic number, because the mean of its divisors is an integer number (4415580).

Almost surely, 2^121182920 is an apocalyptic number.

121182920 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 121182920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141298560).

121182920 is an abundant number, since it is smaller than the sum of its proper divisors (161414200).

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

121182920 is a wasteful number, since it uses less digits than its factorization.

121182920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 121182920 is about 11008.3114054790. The cubic root of 121182920 is about 494.8578580409.

The spelling of 121182920 in words is "one hundred twenty-one million, one hundred eighty-two thousand, nine hundred twenty".