121146980 has 48 divisors (see below), whose sum is σ = 266886144. Its totient is φ = 46104960.

The previous prime is 121146959. The next prime is 121146989. The reversal of 121146980 is 89641121.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (121146989) 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, 101990 + ... + 103170.

It is an arithmetic number, because the mean of its divisors is an integer number (5560128).

Almost surely, 2^121146980 is an apocalyptic number.

121146980 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 121146980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133443072).

121146980 is an abundant number, since it is smaller than the sum of its proper divisors (145739164).

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

121146980 is a wasteful number, since it uses less digits than its factorization.

121146980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 121146980 is about 11006.6788814792. The cubic root of 121146980 is about 494.8089321419.

The spelling of 121146980 in words is "one hundred twenty-one million, one hundred forty-six thousand, nine hundred eighty".