122734706300 has 72 divisors (see below), whose sum is σ = 268444193472. Its totient is φ = 48706272000.

The previous prime is 122734706293. The next prime is 122734706309. The reversal of 122734706300 is 3607437221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122734706309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7793234 + ... + 7808966.

It is an arithmetic number, because the mean of its divisors is an integer number (3728391576).

Almost surely, 2^122734706300 is an apocalyptic number.

122734706300 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 122734706300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134222096736).

122734706300 is an abundant number, since it is smaller than the sum of its proper divisors (145709487172).

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

122734706300 is a wasteful number, since it uses less digits than its factorization.

122734706300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16359 (or 16352 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The spelling of 122734706300 in words is "one hundred twenty-two billion, seven hundred thirty-four million, seven hundred six thousand, three hundred".