11211221000112 has 320 divisors, whose sum is σ = 34169110370304. Its totient is φ = 3100645785600.

The previous prime is 11211221000101. The next prime is 11211221000143. The reversal of 11211221000112 is 21100012211211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11211221000091 and 11211221000100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3396308862 + ... + 3396312162.

Almost surely, 2^{11211221000112} is an apocalyptic number.

11211221000112 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 11211221000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17084555185152).

11211221000112 is an abundant number, since it is smaller than the sum of its proper divisors (22957889370192).

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

11211221000112 is a wasteful number, since it uses less digits than its factorization.

11211221000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11211221000112 its reverse (21100012211211), we get a palindrome (32311233211323).

The spelling of 11211221000112 in words is "eleven trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twelve", and thus it is an aban number.