121546656 has 432 divisors, whose sum is σ = 470564640. Its totient is φ = 30481920.

The previous prime is 121546637. The next prime is 121546657. The reversal of 121546656 is 656645121.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a self number, because there is not a number n which added to its sum of digits gives 121546656.

It is not an unprimeable number, because it can be changed into a prime (121546657) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4191250 + ... + 4191278.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 2^121546656 is an apocalyptic number.

121546656 is a gapful number since it is divisible by the number (16) 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 121546656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235282320).

121546656 is an abundant number, since it is smaller than the sum of its proper divisors (349017984).

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

121546656 is a wasteful number, since it uses less digits than its factorization.

121546656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 121546656 is about 11024.8199985306. The cubic root of 121546656 is about 495.3524762243.

The spelling of 121546656 in words is "one hundred twenty-one million, five hundred forty-six thousand, six hundred fifty-six".