122772 has 24 divisors (see below), whose sum is σ = 308896. Its totient is φ = 37728.

The previous prime is 122761. The next prime is 122777. The reversal of 122772 is 277221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122777) by changing a digit.

122772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238 + ... + 549.

2¹²²⁷⁷² is an apocalyptic number.

122772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122772 is an abundant number, since it is smaller than the sum of its proper divisors (186124).

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

122772 is a wasteful number, since it uses less digits than its factorization.

122772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 805 counting only the distinct ones).

The product of its digits is 392, while the sum is 21.

The square root of 122772 is about 350.3883559709. The cubic root of 122772 is about 49.7011506737.

Adding to 122772 its reverse (277221), we get a palindrome (399993).

Subtracting 122772 from its reverse (277221), we obtain a square (154449 = 393²).

The spelling of 122772 in words is "one hundred twenty-two thousand, seven hundred seventy-two", and thus it is an iban number.