122331001003211 has 96 divisors (see below), whose sum is σ = 175241872358784. Its totient is φ = 82807779225600.

The previous prime is 122331001003201. The next prime is 122331001003229. The reversal of 122331001003211 is 112300100133221.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-122331001003211 is a prime.

It is a super-2 number, since 2×122331001003211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122331001003201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3806057201 + ... + 3806089341.

It is an arithmetic number, because the mean of its divisors is an integer number (1825436170404).

Almost surely, 2^{122331001003211} is an apocalyptic number.

122331001003211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122331001003211 is a deficient number, since it is larger than the sum of its proper divisors (52910871355573).

122331001003211 is a wasteful number, since it uses less digits than its factorization.

122331001003211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52533 (or 52522 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 122331001003211 its reverse (112300100133221), we get a palindrome (234631101136432).

The spelling of 122331001003211 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, one million, three thousand, two hundred eleven".