122766222720064 has 189 divisors, whose sum is σ = 311509885007559. Its totient is φ = 47828336666880.

The previous prime is 122766222720023. The next prime is 122766222720083. The reversal of 122766222720064 is 460027222667221.

The square root of 122766222720064 is 11079992.

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

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6825266079 + ... + 6825284065.

Almost surely, 2^{122766222720064} is an apocalyptic number.

122766222720064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

122766222720064 is the 11079992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122766222720064

122766222720064 is an abundant number, since it is smaller than the sum of its proper divisors (188743662287495).

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

122766222720064 is an frugal number, since it uses more digits than its factorization.

122766222720064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36022 (or 18007 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 49.

122766222720064 divided by its sum of digits (49) gives a square (2505433116736 = 1582856²).

The spelling of 122766222720064 in words is "one hundred twenty-two trillion, seven hundred sixty-six billion, two hundred twenty-two million, seven hundred twenty thousand, sixty-four".