121288407 has 16 divisors (see below), whose sum is σ = 169122048. Its totient is φ = 77172480.

The previous prime is 121288393. The next prime is 121288417. The reversal of 121288407 is 704882121.

It is a happy number.

It is not a de Polignac number, because 121288407 - 2¹⁵ = 121255639 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121288417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34407 + ... + 37767.

It is an arithmetic number, because the mean of its divisors is an integer number (10570128).

Almost surely, 2^121288407 is an apocalyptic number.

121288407 is a deficient number, since it is larger than the sum of its proper divisors (47833641).

121288407 is a wasteful number, since it uses less digits than its factorization.

121288407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3910.

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 121288407 is about 11013.1016067228. The cubic root of 121288407 is about 495.0014039344.

The spelling of 121288407 in words is "one hundred twenty-one million, two hundred eighty-eight thousand, four hundred seven".