121649120 has 48 divisors (see below), whose sum is σ = 288389808. Its totient is φ = 48491520.

The previous prime is 121649117. The next prime is 121649131. The reversal of 121649120 is 21946121.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 121649120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51812 + ... + 54108.

It is an arithmetic number, because the mean of its divisors is an integer number (6008121).

Almost surely, 2^121649120 is an apocalyptic number.

121649120 is a gapful number since it is divisible by the number (10) 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 121649120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144194904).

121649120 is an abundant number, since it is smaller than the sum of its proper divisors (166740688).

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

121649120 is a wasteful number, since it uses less digits than its factorization.

121649120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 121649120 is about 11029.4659888863. The cubic root of 121649120 is about 495.4916314043.

The spelling of 121649120 in words is "one hundred twenty-one million, six hundred forty-nine thousand, one hundred twenty".