122839760556100 has 135 divisors (see below), whose sum is σ = 310984572402077. Its totient is φ = 42114627337440.

The previous prime is 122839760556089. The next prime is 122839760556101. The reversal of 122839760556100 is 1655067938221.

The square root of 122839760556100 is 11083310.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 44222313800196 + 78617446755904 = 6649986^2 + 8866648^2 .

It is not an unprimeable number, because it can be changed into a prime (122839760556101) 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 44 ways as a sum of consecutive naturals, for example, 5430810591 + ... + 5430833209.

Almost surely, 2^{122839760556100} is an apocalyptic number.

122839760556100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122839760556100 is the 11083310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122839760556100

122839760556100 is an abundant number, since it is smaller than the sum of its proper divisors (188144811845977).

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

122839760556100 is an frugal number, since it uses more digits than its factorization.

122839760556100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45280 (or 22633 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 122839760556100 in words is "one hundred twenty-two trillion, eight hundred thirty-nine billion, seven hundred sixty million, five hundred fifty-six thousand, one hundred".