121845883104 has 576 divisors, whose sum is σ = 417068870400. Its totient is φ = 33366574080.

The previous prime is 121845883091. The next prime is 121845883111. The reversal of 121845883104 is 401388548121.

121845883104 is a `hidden beast` number, since 1 + 2 + 18 + 458 + 83 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 121845883104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1468022647 + ... + 1468022729.

It is an arithmetic number, because the mean of its divisors is an integer number (724077900).

Almost surely, 2^121845883104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121845883104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208534435200).

121845883104 is an abundant number, since it is smaller than the sum of its proper divisors (295222987296).

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

121845883104 is a wasteful number, since it uses less digits than its factorization.

121845883104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 121845883104 in words is "one hundred twenty-one billion, eight hundred forty-five million, eight hundred eighty-three thousand, one hundred four".