11122101312 has 112 divisors (see below), whose sum is σ = 33778911360. Its totient is φ = 3163779072.

The previous prime is 11122101311. The next prime is 11122101313. The reversal of 11122101312 is 21310122111.

It is an interprime number because it is at equal distance from previous prime (11122101311) and next prime (11122101313).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×11122101312² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11122101291 and 11122101300.

It is not an unprimeable number, because it can be changed into a prime (11122101311) 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, 289708 + ... + 325844.

Almost surely, 2^11122101312 is an apocalyptic number.

11122101312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16889455680).

11122101312 is an abundant number, since it is smaller than the sum of its proper divisors (22656810048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11122101312 is a wasteful number, since it uses less digits than its factorization.

11122101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36388 (or 36378 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11122101312 its reverse (21310122111), we get a palindrome (32432223423).

The spelling of 11122101312 in words is "eleven billion, one hundred twenty-two million, one hundred one thousand, three hundred twelve".