122111000301311 has 48 divisors (see below), whose sum is σ = 142775882181504. Its totient is φ = 104131445031936.

The previous prime is 122111000301299. The next prime is 122111000301347. The reversal of 122111000301311 is 113103000111221.

It is not a de Polignac number, because 122111000301311 - 2¹⁸ = 122111000039167 is a prime.

It is a super-2 number, since 2×122111000301311² (a number of 29 digits) contains 22 as substring.

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 122111000301311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111000601311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19160674721 + ... + 19160681093.

It is an arithmetic number, because the mean of its divisors is an integer number (2974497545448).

Almost surely, 2^{122111000301311} is an apocalyptic number.

122111000301311 is a deficient number, since it is larger than the sum of its proper divisors (20664881880193).

122111000301311 is a wasteful number, since it uses less digits than its factorization.

122111000301311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9040 (or 9033 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 122111000301311 its reverse (113103000111221), we get a palindrome (235214000412532).

The spelling of 122111000301311 in words is "one hundred twenty-two trillion, one hundred eleven billion, three hundred one thousand, three hundred eleven".