121877568 has 112 divisors (see below), whose sum is σ = 361005120. Its totient is φ = 40320000.

The previous prime is 121877557. The next prime is 121877597. The reversal of 121877568 is 865778121.

It is a happy number.

121877568 is a `hidden beast` number, since 1 + 2 + 1 + 87 + 7 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 433588 + ... + 433868.

It is an arithmetic number, because the mean of its divisors is an integer number (3223260).

Almost surely, 2^121877568 is an apocalyptic number.

121877568 is a gapful number since it is divisible by the number (18) 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 121877568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180502560).

121877568 is an abundant number, since it is smaller than the sum of its proper divisors (239127552).

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

121877568 is a wasteful number, since it uses less digits than its factorization.

121877568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 537 counting only the distinct ones).

The product of its digits is 188160, while the sum is 45.

The square root of 121877568 is about 11039.8173897941. The cubic root of 121877568 is about 495.8016029283.

The spelling of 121877568 in words is "one hundred twenty-one million, eight hundred seventy-seven thousand, five hundred sixty-eight".