122213113302033 has 128 divisors (see below), whose sum is σ = 206652176640000. Its totient is φ = 70835021752320.

The previous prime is 122213113302031. The next prime is 122213113302041. The reversal of 122213113302033 is 330203311312221.

122213113302033 is a `hidden beast` number, since 1 + 2 + 2 + 213 + 113 + 302 + 0 + 33 = 666.

It is not a de Polignac number, because 122213113302033 - 2¹ = 122213113302031 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 = 122213113301988 and 122213113302006.

It is not an unprimeable number, because it can be changed into a prime (122213113302031) 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 127 ways as a sum of consecutive naturals, for example, 5468381743 + ... + 5468404091.

It is an arithmetic number, because the mean of its divisors is an integer number (1614470130000).

Almost surely, 2^{122213113302033} is an apocalyptic number.

122213113302033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122213113302033 is a deficient number, since it is larger than the sum of its proper divisors (84439063337967).

122213113302033 is a wasteful number, since it uses less digits than its factorization.

122213113302033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35544 (or 35538 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 122213113302033 its reverse (330203311312221), we get a palindrome (452416424614254).

The spelling of 122213113302033 in words is "one hundred twenty-two trillion, two hundred thirteen billion, one hundred thirteen million, three hundred two thousand, thirty-three".