121861872 has 120 divisors (see below), whose sum is σ = 376047360. Its totient is φ = 36531840.

The previous prime is 121861847. The next prime is 121861879. The reversal of 121861872 is 278168121.

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 (121861879) 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, 169129 + ... + 169847.

It is an arithmetic number, because the mean of its divisors is an integer number (3133728).

Almost surely, 2^121861872 is an apocalyptic number.

121861872 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 121861872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188023680).

121861872 is an abundant number, since it is smaller than the sum of its proper divisors (254185488).

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

121861872 is a wasteful number, since it uses less digits than its factorization.

121861872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 842 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 121861872 is about 11039.1064855812. The cubic root of 121861872 is about 495.7803180816.

The spelling of 121861872 in words is "one hundred twenty-one million, eight hundred sixty-one thousand, eight hundred seventy-two".