121582743360 has 896 divisors, whose sum is σ = 457908111360. Its totient is φ = 27059552256.

The previous prime is 121582743323. The next prime is 121582743371. The reversal of 121582743360 is 63347285121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 887465212 + ... + 887465348.

It is an arithmetic number, because the mean of its divisors is an integer number (511058160).

Almost surely, 2^121582743360 is an apocalyptic number.

121582743360 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 121582743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228954055680).

121582743360 is an abundant number, since it is smaller than the sum of its proper divisors (336325368000).

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

121582743360 is a wasteful number, since it uses less digits than its factorization.

121582743360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 121582743360 in words is "one hundred twenty-one billion, five hundred eighty-two million, seven hundred forty-three thousand, three hundred sixty".