121569925120 has 288 divisors, whose sum is σ = 344072383200. Its totient is φ = 41097756672.

The previous prime is 121569925117. The next prime is 121569925121. The reversal of 121569925120 is 21529965121.

It is a happy number.

121569925120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×121569925120³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121569925121) 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 23 ways as a sum of consecutive naturals, for example, 36626821 + ... + 36630139.

It is an arithmetic number, because the mean of its divisors is an integer number (1194695775).

Almost surely, 2^121569925120 is an apocalyptic number.

121569925120 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 121569925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172036191600).

121569925120 is an abundant number, since it is smaller than the sum of its proper divisors (222502458080).

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

121569925120 is an equidigital number, since it uses as much as digits as its factorization.

121569925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 43.

The spelling of 121569925120 in words is "one hundred twenty-one billion, five hundred sixty-nine million, nine hundred twenty-five thousand, one hundred twenty".