121153305 has 128 divisors (see below), whose sum is σ = 264757248. Its totient is φ = 45821952.

The previous prime is 121153303. The next prime is 121153309. The reversal of 121153305 is 503351121.

It is not a de Polignac number, because 121153305 - 2¹ = 121153303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (121153303) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 533602 + ... + 533828.

It is an arithmetic number, because the mean of its divisors is an integer number (2068416).

Almost surely, 2^121153305 is an apocalyptic number.

121153305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121153305 is an abundant number, since it is smaller than the sum of its proper divisors (143603943).

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

121153305 is a wasteful number, since it uses less digits than its factorization.

121153305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 121153305 is about 11006.9662032733. The cubic root of 121153305 is about 494.8175432027.

The spelling of 121153305 in words is "one hundred twenty-one million, one hundred fifty-three thousand, three hundred five".