121919616 has 192 divisors, whose sum is σ = 432169920. Its totient is φ = 32126976.

The previous prime is 121919569. The next prime is 121919627. The reversal of 121919616 is 616919121.

121919616 is a `hidden beast` number, since 1 + 21 + 9 + 19 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104251 + ... + 105413.

It is an arithmetic number, because the mean of its divisors is an integer number (2250885).

Almost surely, 2^121919616 is an apocalyptic number.

121919616 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 121919616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216084960).

121919616 is an abundant number, since it is smaller than the sum of its proper divisors (310250304).

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

121919616 is a wasteful number, since it uses less digits than its factorization.

121919616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1188 counting only the distinct ones).

The product of its digits is 5832, while the sum is 36.

The square root of 121919616 is about 11041.7216048948. The cubic root of 121919616 is about 495.8586138810.

The spelling of 121919616 in words is "one hundred twenty-one million, nine hundred nineteen thousand, six hundred sixteen".