122677776 has 135 divisors (see below), whose sum is σ = 377078637. Its totient is φ = 37215360.

The previous prime is 122677769. The next prime is 122677777. The reversal of 122677776 is 677776221.

The square root of 122677776 is 11076.

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., 18147600 + 104530176 = 4260^2 + 10224^2 .

It is not an unprimeable number, because it can be changed into a prime (122677777) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1727821 + ... + 1727891.

Almost surely, 2^122677776 is an apocalyptic number.

122677776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

122677776 is the 11076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122677776

122677776 is an abundant number, since it is smaller than the sum of its proper divisors (254400861).

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

122677776 is a wasteful number, since it uses less digits than its factorization.

122677776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 89 counting only the distinct ones).

The product of its digits is 345744, while the sum is 45.

The cubic root of 122677776 is about 496.8843268215.

Multiplying 122677776 by its product of digits (345744), we get a square (42415104985344 = 6512688²).

The spelling of 122677776 in words is "one hundred twenty-two million, six hundred seventy-seven thousand, seven hundred seventy-six".