121886208 has 100 divisors (see below), whose sum is σ = 363922020. Its totient is φ = 40614912.

The previous prime is 121886189. The next prime is 121886213. The reversal of 121886208 is 802688121.

121886208 is a `hidden beast` number, since 1 + 21 + 8 + 8 + 620 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 9 ways as a sum of consecutive naturals, for example, 40003 + ... + 42941.

Almost surely, 2^121886208 is an apocalyptic number.

121886208 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 121886208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181961010).

121886208 is an abundant number, since it is smaller than the sum of its proper divisors (242035812).

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

121886208 is an frugal number, since it uses more digits than its factorization.

121886208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 121886208 is about 11040.2086936797. The cubic root of 121886208 is about 495.8133185779.

The spelling of 121886208 in words is "one hundred twenty-one million, eight hundred eighty-six thousand, two hundred eight".