121882866336 has 432 divisors, whose sum is σ = 442595672064. Its totient is φ = 31135104000.

The previous prime is 121882866331. The next prime is 121882866337. The reversal of 121882866336 is 633668288121.

121882866336 is a `hidden beast` number, since 1 + 21 + 8 + 8 + 286 + 6 + 336 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (121882866331) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14876001 + ... + 14884191.

Almost surely, 2^121882866336 is an apocalyptic number.

121882866336 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 121882866336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221297836032).

121882866336 is an abundant number, since it is smaller than the sum of its proper divisors (320712805728).

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

121882866336 is a wasteful number, since it uses less digits than its factorization.

121882866336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8297 (or 8275 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 121882866336 in words is "one hundred twenty-one billion, eight hundred eighty-two million, eight hundred sixty-six thousand, three hundred thirty-six".