122123311133321 has 8 divisors (see below), whose sum is σ = 129531137642280. Its totient is φ = 114740384882688.

The previous prime is 122123311133311. The next prime is 122123311133363. The reversal of 122123311133321 is 123331113321221.

It can be written as a sum of positive squares in 4 ways, for example, as 86312721335296 + 35810589798025 = 9290464^2 + 5984195^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-122123311133321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122123311133311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6225054476 + ... + 6225074093.

It is an arithmetic number, because the mean of its divisors is an integer number (16191392205285).

Almost surely, 2^{122123311133321} is an apocalyptic number.

It is an amenable number.

122123311133321 is a deficient number, since it is larger than the sum of its proper divisors (7407826508959).

122123311133321 is a wasteful number, since it uses less digits than its factorization.

122123311133321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12450129163.

The product of its digits is 3888, while the sum is 29.

Adding to 122123311133321 its reverse (123331113321221), we get a palindrome (245454424454542).

The spelling of 122123311133321 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, three hundred eleven million, one hundred thirty-three thousand, three hundred twenty-one".