122066433 has 24 divisors (see below), whose sum is σ = 184661568. Its totient is φ = 80571024.

The previous prime is 122066419. The next prime is 122066447. The reversal of 122066433 is 334660221.

122066433 is a `hidden beast` number, since 1 + 220 + 6 + 6 + 433 = 666.

It is an interprime number because it is at equal distance from previous prime (122066419) and next prime (122066447).

It is not a de Polignac number, because 122066433 - 2⁶ = 122066369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 122066397 and 122066406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122066033) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22591 + ... + 27467.

It is an arithmetic number, because the mean of its divisors is an integer number (7694232).

Almost surely, 2^122066433 is an apocalyptic number.

It is an amenable number.

122066433 is a deficient number, since it is larger than the sum of its proper divisors (62595135).

122066433 is an equidigital number, since it uses as much as digits as its factorization.

122066433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4995 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 122066433 is about 11048.3678885164. The cubic root of 122066433 is about 496.0575735826.

The spelling of 122066433 in words is "one hundred twenty-two million, sixty-six thousand, four hundred thirty-three".