121881456 has 80 divisors (see below), whose sum is σ = 351366400. Its totient is φ = 40450752.

The previous prime is 121881451. The next prime is 121881467. The reversal of 121881456 is 654188121.

121881456 is a `hidden beast` number, since 121 + 8 + 81 + 456 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121881456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121881451) 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, 132165 + ... + 133083.

It is an arithmetic number, because the mean of its divisors is an integer number (4392080).

Almost surely, 2^121881456 is an apocalyptic number.

121881456 is a gapful number since it is divisible by the number (16) 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 121881456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175683200).

121881456 is an abundant number, since it is smaller than the sum of its proper divisors (229484944).

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

121881456 is a wasteful number, since it uses less digits than its factorization.

121881456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1231 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 121881456 is about 11039.9934782589. The cubic root of 121881456 is about 495.8068750391.

The spelling of 121881456 in words is "one hundred twenty-one million, eight hundred eighty-one thousand, four hundred fifty-six".