121195872 has 192 divisors, whose sum is σ = 418521600. Its totient is φ = 33384960.

The previous prime is 121195871. The next prime is 121195891. The reversal of 121195872 is 278591121.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121195871) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 175047 + ... + 175737.

It is an arithmetic number, because the mean of its divisors is an integer number (2179800).

Almost surely, 2^121195872 is an apocalyptic number.

121195872 is a gapful number since it is divisible by the number (12) 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 121195872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209260800).

121195872 is an abundant number, since it is smaller than the sum of its proper divisors (297325728).

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

121195872 is a wasteful number, since it uses less digits than its factorization.

121195872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 732 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 121195872 is about 11008.8996725377. The cubic root of 121195872 is about 494.8754875073.

The spelling of 121195872 in words is "one hundred twenty-one million, one hundred ninety-five thousand, eight hundred seventy-two".