121807008 has 72 divisors (see below), whose sum is σ = 347462388. Its totient is φ = 40476672.

The previous prime is 121806973. The next prime is 121807009. The reversal of 121807008 is 800708121.

It can be written as a sum of positive squares in 2 ways, for example, as 74857104 + 46949904 = 8652^2 + 6852^2 .

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

It is not an unprimeable number, because it can be changed into a prime (121807009) 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, 165810 + ... + 166542.

Almost surely, 2^121807008 is an apocalyptic number.

121807008 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 121807008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173731194).

121807008 is an abundant number, since it is smaller than the sum of its proper divisors (225655380).

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

121807008 is a wasteful number, since it uses less digits than its factorization.

121807008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 121807008 is about 11036.6212220951. The cubic root of 121807008 is about 495.7059043924.

The spelling of 121807008 in words is "one hundred twenty-one million, eight hundred seven thousand, eight".