121153648 has 80 divisors (see below), whose sum is σ = 302837760. Its totient is φ = 45561600.

The previous prime is 121153631. The next prime is 121153667. The reversal of 121153648 is 846351121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34033 + ... + 37423.

It is an arithmetic number, because the mean of its divisors is an integer number (3785472).

Almost surely, 2^121153648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121153648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151418880).

121153648 is an abundant number, since it is smaller than the sum of its proper divisors (181684112).

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

121153648 is a wasteful number, since it uses less digits than its factorization.

121153648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446 (or 3440 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 121153648 is about 11006.9817843040. The cubic root of 121153648 is about 494.8180101655.

It can be divided in two parts, 121153 and 648, that added together give a square (121801 = 349²).

The spelling of 121153648 in words is "one hundred twenty-one million, one hundred fifty-three thousand, six hundred forty-eight".