121180488 has 256 divisors, whose sum is σ = 394813440. Its totient is φ = 30412800.

The previous prime is 121180459. The next prime is 121180489. The reversal of 121180488 is 884081121.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (121180489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1808631 + ... + 1808697.

It is an arithmetic number, because the mean of its divisors is an integer number (1542240).

Almost surely, 2^121180488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121180488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197406720).

121180488 is an abundant number, since it is smaller than the sum of its proper divisors (273632952).

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

121180488 is a wasteful number, since it uses less digits than its factorization.

121180488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 33.

The square root of 121180488 is about 11008.2009429334. The cubic root of 121180488 is about 494.8545476119.

The spelling of 121180488 in words is "one hundred twenty-one million, one hundred eighty thousand, four hundred eighty-eight".