121886856 has 288 divisors, whose sum is σ = 431645760. Its totient is φ = 31539456.

The previous prime is 121886851. The next prime is 121886879. The reversal of 121886856 is 658688121.

It is a zygodrome in base 3 and base 5.

It is not an unprimeable number, because it can be changed into a prime (121886851) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2299726 + ... + 2299778.

It is an arithmetic number, because the mean of its divisors is an integer number (1498770).

Almost surely, 2^121886856 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 121886856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215822880).

121886856 is an abundant number, since it is smaller than the sum of its proper divisors (309758904).

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

121886856 is a wasteful number, since it uses less digits than its factorization.

121886856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 121886856 is about 11040.2380409120. The cubic root of 121886856 is about 495.8141972293.

It can be divided in two parts, 12188 and 6856, that added together give a square (19044 = 138²).

The spelling of 121886856 in words is "one hundred twenty-one million, eight hundred eighty-six thousand, eight hundred fifty-six".