121081466880 has 936 divisors, whose sum is σ = 474151761720. Its totient is φ = 28547481600.

The previous prime is 121081466873. The next prime is 121081466899. The reversal of 121081466880 is 88664180121.

121081466880 is a `hidden beast` number, since 1 + 2 + 108 + 1 + 466 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2569273344 + 118512193536 = 50688^2 + 344256^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1360465876 + ... + 1360465964.

It is an arithmetic number, because the mean of its divisors is an integer number (506572395).

Almost surely, 2^121081466880 is an apocalyptic number.

121081466880 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 121081466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237075880860).

121081466880 is an abundant number, since it is smaller than the sum of its proper divisors (353070294840).

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

121081466880 is a wasteful number, since it uses less digits than its factorization.

121081466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 121081466880 in words is "one hundred twenty-one billion, eighty-one million, four hundred sixty-six thousand, eight hundred eighty".