121788438898560 has 512 divisors, whose sum is σ = 448325762734080. Its totient is φ = 27544592056320.

The previous prime is 121788438898547. The next prime is 121788438898661. The reversal of 121788438898560 is 65898834887121.

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10639326757 + ... + 10639338203.

It is an arithmetic number, because the mean of its divisors is an integer number (875636255340).

It is a 2-persistent number, because it is pandigital, and so is 2⋅121788438898560 = 243576877797120, but 3⋅121788438898560 = 365365316695680 is not.

Almost surely, 2^{121788438898560} is an apocalyptic number.

121788438898560 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 121788438898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224162881367040).

121788438898560 is an abundant number, since it is smaller than the sum of its proper divisors (326537323835520).

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

121788438898560 is a wasteful number, since it uses less digits than its factorization.

121788438898560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19734 (or 19722 counting only the distinct ones).

The product of its (nonzero) digits is 1486356480, while the sum is 78.

The spelling of 121788438898560 in words is "one hundred twenty-one trillion, seven hundred eighty-eight billion, four hundred thirty-eight million, eight hundred ninety-eight thousand, five hundred sixty".