121920876 has 192 divisors, whose sum is σ = 401157120. Its totient is φ = 31492800.

The previous prime is 121920863. The next prime is 121920917. The reversal of 121920876 is 678029121.

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 121920876.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 673506 + ... + 673686.

It is an arithmetic number, because the mean of its divisors is an integer number (2089360).

Almost surely, 2^121920876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121920876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200578560).

121920876 is an abundant number, since it is smaller than the sum of its proper divisors (279236244).

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

121920876 is a wasteful number, since it uses less digits than its factorization.

121920876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 121920876 is about 11041.7786610672. The cubic root of 121920876 is about 495.8603220549.

Adding to 121920876 its reverse (678029121), we get a palindrome (799949997).

The spelling of 121920876 in words is "one hundred twenty-one million, nine hundred twenty thousand, eight hundred seventy-six".