121118976 has 252 divisors, whose sum is σ = 402136560. Its totient is φ = 36080640.

The previous prime is 121118969. The next prime is 121119001. The reversal of 121118976 is 679811121.

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 121118976.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2052835 + ... + 2052893.

It is an arithmetic number, because the mean of its divisors is an integer number (1595780).

Almost surely, 2^121118976 is an apocalyptic number.

121118976 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 121118976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201068280).

121118976 is an abundant number, since it is smaller than the sum of its proper divisors (281017584).

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

121118976 is an frugal number, since it uses more digits than its factorization.

121118976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its digits is 6048, while the sum is 36.

The square root of 121118976 is about 11005.4066712684. The cubic root of 121118976 is about 494.7708029835.

The spelling of 121118976 in words is "one hundred twenty-one million, one hundred eighteen thousand, nine hundred seventy-six".