122877225 has 27 divisors (see below), whose sum is σ = 220384983. Its totient is φ = 65445840.

The previous prime is 122877203. The next prime is 122877233. The reversal of 122877225 is 522778221.

The square root of 122877225 is 11085.

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., 44235801 + 78641424 = 6651^2 + 8868^2 .

It is not a de Polignac number, because 122877225 - 2⁵ = 122877193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122877225.

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, 165906 + ... + 166644.

Almost surely, 2^122877225 is an apocalyptic number.

122877225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122877225 is the 11085-th square number.

122877225 is the 5543-rd centered octagonal number.

It is an amenable number.

122877225 is a deficient number, since it is larger than the sum of its proper divisors (97507758).

122877225 is an frugal number, since it uses more digits than its factorization.

122877225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 747 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The cubic root of 122877225 is about 497.1534584895.

Multiplying 122877225 by its sum of digits (36), we get a square (4423580100 = 66510²).

The spelling of 122877225 in words is "one hundred twenty-two million, eight hundred seventy-seven thousand, two hundred twenty-five".