122010142033 has 16 divisors (see below), whose sum is σ = 136014595920. Its totient is φ = 108670593024.

The previous prime is 122010142021. The next prime is 122010142039. The reversal of 122010142033 is 330241010221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11657952784 + 110352189249 = 107972^2 + 332193^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122010142033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122010142033.

It is not an unprimeable number, because it can be changed into a prime (122010142039) 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 15 ways as a sum of consecutive naturals, for example, 481285 + ... + 689677.

It is an arithmetic number, because the mean of its divisors is an integer number (8500912245).

Almost surely, 2^122010142033 is an apocalyptic number.

122010142033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122010142033 is a deficient number, since it is larger than the sum of its proper divisors (14004453887).

122010142033 is a wasteful number, since it uses less digits than its factorization.

122010142033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209988.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 122010142033 its reverse (330241010221), we get a palindrome (452251152254).

The spelling of 122010142033 in words is "one hundred twenty-two billion, ten million, one hundred forty-two thousand, thirty-three".