121563648 has 240 divisors, whose sum is σ = 388118016. Its totient is φ = 36495360.

The previous prime is 121563599. The next prime is 121563683. The reversal of 121563648 is 846365121.

It is a happy number.

121563648 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 6 + 3 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (34560) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3285486 + ... + 3285522.

Almost surely, 2^121563648 is an apocalyptic number.

121563648 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 121563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194059008).

121563648 is an abundant number, since it is smaller than the sum of its proper divisors (266554368).

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

121563648 is a wasteful number, since it uses less digits than its factorization.

121563648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 121563648 is about 11025.5905964261. The cubic root of 121563648 is about 495.3755582718.

The spelling of 121563648 in words is "one hundred twenty-one million, five hundred sixty-three thousand, six hundred forty-eight".