121896096 has 96 divisors (see below), whose sum is σ = 384975360. Its totient is φ = 32990976.

The previous prime is 121896083. The next prime is 121896097. The reversal of 121896096 is 690698121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (121896097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7995 + ... + 17541.

It is an arithmetic number, because the mean of its divisors is an integer number (4010160).

Almost surely, 2^121896096 is an apocalyptic number.

121896096 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 121896096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192487680).

121896096 is an abundant number, since it is smaller than the sum of its proper divisors (263079264).

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

121896096 is a wasteful number, since it uses less digits than its factorization.

121896096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9586 (or 9578 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 121896096 is about 11040.6565022194. The cubic root of 121896096 is about 495.8267258086.

The spelling of 121896096 in words is "one hundred twenty-one million, eight hundred ninety-six thousand, ninety-six".