121079808 has 72 divisors (see below), whose sum is σ = 349753950. Its totient is φ = 40353792.

The previous prime is 121079801. The next prime is 121079821. The reversal of 121079808 is 808970121.

It can be written as a sum of positive squares in only one way, i.e., 79709184 + 41370624 = 8928^2 + 6432^2 .

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 not an unprimeable number, because it can be changed into a prime (121079801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15148 + ... + 21716.

Almost surely, 2^121079808 is an apocalyptic number.

121079808 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 121079808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174876975).

121079808 is an abundant number, since it is smaller than the sum of its proper divisors (228674142).

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

121079808 is an equidigital number, since it uses as much as digits as its factorization.

121079808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6597 (or 6574 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 121079808 is about 11003.6270383906. The cubic root of 121079808 is about 494.7174634964.

It can be divided in two parts, 1210 and 79808, that added together give a palindrome (81018).

The spelling of 121079808 in words is "one hundred twenty-one million, seventy-nine thousand, eight hundred eight".