122533000 has 32 divisors (see below), whose sum is σ = 286729560. Its totient is φ = 49012800.

The previous prime is 122532967. The next prime is 122533013. The reversal of 122533000 is 335221.

It can be written as a sum of positive squares in 4 ways, for example, as 21771556 + 100761444 = 4666^2 + 10038^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60267 + ... + 62266.

Almost surely, 2^122533000 is an apocalyptic number.

122533000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122533000 is an abundant number, since it is smaller than the sum of its proper divisors (164196560).

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

122533000 is a wasteful number, since it uses less digits than its factorization.

122533000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122554 (or 122540 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 122533000 is about 11069.4624982426. The cubic root of 122533000 is about 496.6887868072.

Adding to 122533000 its reverse (335221), we get a palindrome (122868221).

It can be divided in two parts, 1225 and 33000, that added together give a square (34225 = 185²).

The spelling of 122533000 in words is "one hundred twenty-two million, five hundred thirty-three thousand".