121882397760 has 560 divisors, whose sum is σ = 458280820800. Its totient is φ = 30663069696.

The previous prime is 121882397731. The next prime is 121882397761. The reversal of 121882397760 is 67793288121.

It is a happy number.

121882397760 is a `hidden beast` number, since 1 + 2 + 188 + 2 + 397 + 76 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121882397697 and 121882397706.

It is not an unprimeable number, because it can be changed into a prime (121882397761) 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 79 ways as a sum of consecutive naturals, for example, 186649594 + ... + 186650246.

Almost surely, 2^121882397760 is an apocalyptic number.

121882397760 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 121882397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229140410400).

121882397760 is an abundant number, since it is smaller than the sum of its proper divisors (336398423040).

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

121882397760 is a wasteful number, since it uses less digits than its factorization.

121882397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 121882397760 in words is "one hundred twenty-one billion, eight hundred eighty-two million, three hundred ninety-seven thousand, seven hundred sixty".