121486680 has 288 divisors, whose sum is σ = 470564640. Its totient is φ = 27095040.

The previous prime is 121486679. The next prime is 121486693. The reversal of 121486680 is 86684121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1252392 + ... + 1252488.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 2^121486680 is an apocalyptic number.

121486680 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 121486680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235282320).

121486680 is an abundant number, since it is smaller than the sum of its proper divisors (349077960).

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

121486680 is a wasteful number, since it uses less digits than its factorization.

121486680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 121486680 is about 11022.0996184937. The cubic root of 121486680 is about 495.2709872197.

The spelling of 121486680 in words is "one hundred twenty-one million, four hundred eighty-six thousand, six hundred eighty".