122985349695376 has 315 divisors, whose sum is σ = 284868708845329. Its totient is φ = 51436441830144.

The previous prime is 122985349695371. The next prime is 122985349695379. The reversal of 122985349695376 is 673596943589221.

The square root of 122985349695376 is 11089876.

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., 72242180211600 + 50743169483776 = 8499540^2 + 7123424^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122985349695296 and 122985349695305.

It is not an unprimeable number, because it can be changed into a prime (122985349695371) 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 62 ways as a sum of consecutive naturals, for example, 897703282380 + ... + 897703282516.

Almost surely, 2^{122985349695376} is an apocalyptic number.

122985349695376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

122985349695376 is the 11089876-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122985349695376

122985349695376 is an abundant number, since it is smaller than the sum of its proper divisors (161883359149953).

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

122985349695376 is an frugal number, since it uses more digits than its factorization.

122985349695376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 205 counting only the distinct ones).

The product of its digits is 5290790400, while the sum is 79.

The spelling of 122985349695376 in words is "one hundred twenty-two trillion, nine hundred eighty-five billion, three hundred forty-nine million, six hundred ninety-five thousand, three hundred seventy-six".