121856100 has 72 divisors (see below), whose sum is σ = 361206048. Its totient is φ = 31699200.

The previous prime is 121856099. The next prime is 121856113. The reversal of 121856100 is 1658121.

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 23 ways as a sum of consecutive naturals, for example, 7347 + ... + 17253.

Almost surely, 2^121856100 is an apocalyptic number.

121856100 is a gapful number since it is divisible by the number (10) 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 121856100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180603024).

121856100 is an abundant number, since it is smaller than the sum of its proper divisors (239349948).

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

121856100 is a wasteful number, since it uses less digits than its factorization.

121856100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9965 (or 9958 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 121856100 is about 11038.8450482829. The cubic root of 121856100 is about 495.7724903963.

The spelling of 121856100 in words is "one hundred twenty-one million, eight hundred fifty-six thousand, one hundred".