121066416 has 120 divisors (see below), whose sum is σ = 357767280. Its totient is φ = 38158848.

The previous prime is 121066403. The next prime is 121066417. The reversal of 121066416 is 614660121.

121066416 = 63³ + 64³ + ... + 149³.

121066416 is a `hidden beast` number, since 1 + 2 + 10 + 6 + 641 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 121066416.

It is not an unprimeable number, because it can be changed into a prime (121066417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221055 + ... + 221601.

It is an arithmetic number, because the mean of its divisors is an integer number (2981394).

Almost surely, 2^121066416 is an apocalyptic number.

121066416 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 121066416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178883640).

121066416 is an abundant number, since it is smaller than the sum of its proper divisors (236700864).

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

121066416 is a wasteful number, since it uses less digits than its factorization.

121066416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 121066416 is about 11003.0184949404. The cubic root of 121066416 is about 494.6992234594.

The spelling of 121066416 in words is "one hundred twenty-one million, sixty-six thousand, four hundred sixteen".