121250120 has 64 divisors (see below), whose sum is σ = 295974000. Its totient is φ = 44523520.

The previous prime is 121250119. The next prime is 121250141. The reversal of 121250120 is 21052121.

It can be written as a sum of positive squares in 8 ways, for example, as 8168164 + 113081956 = 2858^2 + 10634^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121250095 and 121250104.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25706 + ... + 30054.

Almost surely, 2^121250120 is an apocalyptic number.

121250120 is a gapful number since it is divisible by the number (10) 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 121250120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147987000).

121250120 is an abundant number, since it is smaller than the sum of its proper divisors (174723880).

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

121250120 is a wasteful number, since it uses less digits than its factorization.

121250120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4418 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 121250120 is about 11011.3632216906. The cubic root of 121250120 is about 494.9493129067.

The spelling of 121250120 in words is "one hundred twenty-one million, two hundred fifty thousand, one hundred twenty".