122133363 has 32 divisors (see below), whose sum is σ = 182304000. Its totient is φ = 72105600.

The previous prime is 122133343. The next prime is 122133367. The reversal of 122133363 is 363331221.

It is a happy number.

It is not a de Polignac number, because 122133363 - 2⁸ = 122133107 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122133367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289893 + ... + 290313.

It is an arithmetic number, because the mean of its divisors is an integer number (5697000).

Almost surely, 2^122133363 is an apocalyptic number.

122133363 is a deficient number, since it is larger than the sum of its proper divisors (60170637).

122133363 is a wasteful number, since it uses less digits than its factorization.

122133363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643.

The product of its digits is 1944, while the sum is 24.

The square root of 122133363 is about 11051.3964276014. The cubic root of 122133363 is about 496.1482211267.

Adding to 122133363 its reverse (363331221), we get a palindrome (485464584).

It can be divided in two parts, 12213 and 3363, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 122133363 in words is "one hundred twenty-two million, one hundred thirty-three thousand, three hundred sixty-three".