33422100122433 has 32 divisors (see below), whose sum is σ = 49928474040192. Its totient is φ = 19708119244800.

The previous prime is 33422100122431. The next prime is 33422100122441.

It is a happy number.

33422100122433 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33422100122433 - 2¹ = 33422100122431 is a prime.

It is a super-2 number, since 2×33422100122433² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33422100122433.

It is not an unprimeable number, because it can be changed into a prime (33422100122431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160717663 + ... + 160925483.

It is an arithmetic number, because the mean of its divisors is an integer number (1560264813756).

Almost surely, 2^{33422100122433} is an apocalyptic number.

33422100122433 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33422100122433 is a deficient number, since it is larger than the sum of its proper divisors (16506373917759).

33422100122433 is a wasteful number, since it uses less digits than its factorization.

33422100122433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339585.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 33422100 and 122433, that added together give a palindrome (33544533).

The spelling of 33422100122433 in words is "thirty-three trillion, four hundred twenty-two billion, one hundred million, one hundred twenty-two thousand, four hundred thirty-three".