121685256 has 192 divisors, whose sum is σ = 420526080. Its totient is φ = 30867840.

The previous prime is 121685243. The next prime is 121685279. The reversal of 121685256 is 652586121.

121685256 is a `hidden beast` number, since 121 + 6 + 8 + 525 + 6 = 666.

It is a super-3 number, since 3×121685256³ (a number of 25 digits) contains 333 as substring.

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 121685256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260335 + ... + 260801.

It is an arithmetic number, because the mean of its divisors is an integer number (2190240).

Almost surely, 2^121685256 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 121685256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210263040).

121685256 is an abundant number, since it is smaller than the sum of its proper divisors (298840824).

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

121685256 is a wasteful number, since it uses less digits than its factorization.

121685256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 537 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 121685256 is about 11031.1040245299. The cubic root of 121685256 is about 495.5406886519.

It can be divided in two parts, 12168 and 5256, that added together give a square (17424 = 132²).

The spelling of 121685256 in words is "one hundred twenty-one million, six hundred eighty-five thousand, two hundred fifty-six".