121199104 has 80 divisors (see below), whose sum is σ = 264670560. Its totient is φ = 55111680.

The previous prime is 121199101. The next prime is 121199107. The reversal of 121199104 is 401991121.

It is an interprime number because it is at equal distance from previous prime (121199101) and next prime (121199107).

It is not an unprimeable number, because it can be changed into a prime (121199101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 871867 + ... + 872005.

It is an arithmetic number, because the mean of its divisors is an integer number (3308382).

Almost surely, 2^121199104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121199104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132335280).

121199104 is an abundant number, since it is smaller than the sum of its proper divisors (143471456).

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

121199104 is a wasteful number, since it uses less digits than its factorization.

121199104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 28.

The square root of 121199104 is about 11009.0464618876. The cubic root of 121199104 is about 494.8798865113.

The spelling of 121199104 in words is "one hundred twenty-one million, one hundred ninety-nine thousand, one hundred four".