122377845473280 has 864 divisors, whose sum is σ = 435086647527168. Its totient is φ = 31805826662400.

The previous prime is 122377845473267. The next prime is 122377845473281. The reversal of 122377845473280 is 82374548773221.

122377845473280 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 7 + 7 + 8 + 4 + 547 + 3 + 2 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (122377845473281) 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 47 ways as a sum of consecutive naturals, for example, 77898054895 + ... + 77898056465.

It is an arithmetic number, because the mean of its divisors is an integer number (503572508712).

Almost surely, 2^{122377845473280} is an apocalyptic number.

122377845473280 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 122377845473280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217543323763584).

122377845473280 is an abundant number, since it is smaller than the sum of its proper divisors (312708802053888).

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

122377845473280 is an equidigital number, since it uses as much as digits as its factorization.

122377845473280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 63.

The spelling of 122377845473280 in words is "one hundred twenty-two trillion, three hundred seventy-seven billion, eight hundred forty-five million, four hundred seventy-three thousand, two hundred eighty".