122617628224 has 315 divisors, whose sum is σ = 315142531893. Its totient is φ = 47197043712.

The previous prime is 122617628213. The next prime is 122617628227. The reversal of 122617628224 is 422826716221.

The square root of 122617628224 is 350168.

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

122617628224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 98520654400 + 24096973824 = 313880^2 + 155232^2 .

It is not an unprimeable number, because it can be changed into a prime (122617628227) 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 44 ways as a sum of consecutive naturals, for example, 3313989934 + ... + 3313989970.

Almost surely, 2^122617628224 is an apocalyptic number.

122617628224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

122617628224 is the 350168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122617628224

122617628224 is an abundant number, since it is smaller than the sum of its proper divisors (192524903669).

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

122617628224 is an frugal number, since it uses more digits than its factorization.

122617628224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 59 counting only the distinct ones).

The product of its digits is 258048, while the sum is 43.

It can be divided in two parts, 1226176 and 28224, that added together give a square (1254400 = 1120²).

The spelling of 122617628224 in words is "one hundred twenty-two billion, six hundred seventeen million, six hundred twenty-eight thousand, two hundred twenty-four".