121890096 has 100 divisors (see below), whose sum is σ = 355564792. Its totient is φ = 40310784.

The previous prime is 121890053. The next prime is 121890107. The reversal of 121890096 is 690098121.

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 121890096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 210960 + ... + 211536.

Almost surely, 2^121890096 is an apocalyptic number.

121890096 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 121890096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177782396).

121890096 is an abundant number, since it is smaller than the sum of its proper divisors (233674696).

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

121890096 is a wasteful number, since it uses less digits than its factorization.

121890096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 121890096 is about 11040.3847759034. The cubic root of 121890096 is about 495.8185904396.

The spelling of 121890096 in words is "one hundred twenty-one million, eight hundred ninety thousand, ninety-six".