121672096 has 144 divisors (see below), whose sum is σ = 308883456. Its totient is φ = 46738944.

The previous prime is 121672079. The next prime is 121672097. The reversal of 121672096 is 690276121.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (121672097) 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, 957985 + ... + 958111.

It is an arithmetic number, because the mean of its divisors is an integer number (2145024).

Almost surely, 2^121672096 is an apocalyptic number.

121672096 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 121672096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154441728).

121672096 is an abundant number, since it is smaller than the sum of its proper divisors (187211360).

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

121672096 is a wasteful number, since it uses less digits than its factorization.

121672096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 121672096 is about 11030.5075132561. The cubic root of 121672096 is about 495.5228241195.

The spelling of 121672096 in words is "one hundred twenty-one million, six hundred seventy-two thousand, ninety-six".