122003333312311 has 16 divisors (see below), whose sum is σ = 140101414508160. Its totient is φ = 105073221379680.

The previous prime is 122003333312269. The next prime is 122003333312323. The reversal of 122003333312311 is 113213333300221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122003333312311 - 2²⁵ = 122003299757879 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122003333312311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122003333312381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11709460 + ... + 19522246.

It is an arithmetic number, because the mean of its divisors is an integer number (8756338406760).

Almost surely, 2^{122003333312311} is an apocalyptic number.

122003333312311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122003333312311 is a deficient number, since it is larger than the sum of its proper divisors (18098081195849).

122003333312311 is a wasteful number, since it uses less digits than its factorization.

122003333312311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7887534.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 122003333312311 its reverse (113213333300221), we get a palindrome (235216666612532).

The spelling of 122003333312311 in words is "one hundred twenty-two trillion, three billion, three hundred thirty-three million, three hundred twelve thousand, three hundred eleven".