121146880 has 80 divisors (see below), whose sum is σ = 298552320. Its totient is φ = 47112192.

The previous prime is 121146877. The next prime is 121146887. The reversal of 121146880 is 88641121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121146887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94081 + ... + 95359.

It is an arithmetic number, because the mean of its divisors is an integer number (3731904).

Almost surely, 2^121146880 is an apocalyptic number.

121146880 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 121146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149276160).

121146880 is an abundant number, since it is smaller than the sum of its proper divisors (177405440).

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

121146880 is an equidigital number, since it uses as much as digits as its factorization.

121146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 121146880 is about 11006.6743387819. The cubic root of 121146880 is about 494.8087959962.

The spelling of 121146880 in words is "one hundred twenty-one million, one hundred forty-six thousand, eight hundred eighty".