121263326166528 has 1280 divisors, whose sum is σ = 455444549683200. Its totient is φ = 31007413370880.

The previous prime is 121263326166503. The next prime is 121263326166599. The reversal of 121263326166528 is 825661623362121.

121263326166528 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 6 + 33 + 26 + 1 + 66 + 528 = 666.

121263326166528 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5418125898 + ... + 5418148278.

It is an arithmetic number, because the mean of its divisors is an integer number (355816054440).

Almost surely, 2^{121263326166528} is an apocalyptic number.

121263326166528 is a gapful number since it is divisible by the number (18) 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 121263326166528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227722274841600).

121263326166528 is an abundant number, since it is smaller than the sum of its proper divisors (334181223516672).

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

121263326166528 is a wasteful number, since it uses less digits than its factorization.

121263326166528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22560 (or 22538 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 121263326166528 in words is "one hundred twenty-one trillion, two hundred sixty-three billion, three hundred twenty-six million, one hundred sixty-six thousand, five hundred twenty-eight".