121085856 has 72 divisors (see below), whose sum is σ = 345405060. Its totient is φ = 40237056.

The previous prime is 121085851. The next prime is 121085891. The reversal of 121085856 is 658580121.

It can be written as a sum of positive squares in 2 ways, for example, as 118461456 + 2624400 = 10884^2 + 1620^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 121085856.

It is not an unprimeable number, because it can be changed into a prime (121085851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170430 + ... + 171138.

Almost surely, 2^121085856 is an apocalyptic number.

121085856 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 121085856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172702530).

121085856 is an abundant number, since it is smaller than the sum of its proper divisors (224319204).

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

121085856 is a wasteful number, since it uses less digits than its factorization.

121085856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 121085856 is about 11003.9018534336. The cubic root of 121085856 is about 494.7257004917.

The spelling of 121085856 in words is "one hundred twenty-one million, eighty-five thousand, eight hundred fifty-six".