122277683189776 has 135 divisors (see below), whose sum is σ = 253231647854589. Its totient is φ = 57190521367296.

The previous prime is 122277683189729. The next prime is 122277683189791. The reversal of 122277683189776 is 677981386772221.

The square root of 122277683189776 is 11057924.

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., 3462799939600 + 118814883250176 = 1860860^2 + 10900224^2 .

It is a Harshad number since it is a multiple of its sum of digits (76).

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, 69753383716 + ... + 69753385468.

Almost surely, 2^{122277683189776} is an apocalyptic number.

122277683189776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

122277683189776 is the 11057924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122277683189776

122277683189776 is an abundant number, since it is smaller than the sum of its proper divisors (130953964664813).

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

122277683189776 is an frugal number, since it uses more digits than its factorization.

122277683189776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718 (or 1857 counting only the distinct ones).

The product of its digits is 1194891264, while the sum is 76.

The spelling of 122277683189776 in words is "one hundred twenty-two trillion, two hundred seventy-seven billion, six hundred eighty-three million, one hundred eighty-nine thousand, seven hundred seventy-six".