122782881300 has 144 divisors (see below), whose sum is σ = 359340959040. Its totient is φ = 32366039040.

The previous prime is 122782881283. The next prime is 122782881313. The reversal of 122782881300 is 3188287221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31105927 + ... + 31109873.

Almost surely, 2^122782881300 is an apocalyptic number.

122782881300 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 122782881300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179670479520).

122782881300 is an abundant number, since it is smaller than the sum of its proper divisors (236558077740).

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

122782881300 is a wasteful number, since it uses less digits than its factorization.

122782881300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 122782881300 in words is "one hundred twenty-two billion, seven hundred eighty-two million, eight hundred eighty-one thousand, three hundred".