11221485242112 has 216 divisors, whose sum is σ = 32556368976768. Its totient is φ = 3717155020800.

The previous prime is 11221485242089. The next prime is 11221485242147. The reversal of 11221485242112 is 21124258412211.

11221485242112 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 14 + 8 + 524 + 2 + 112 = 666.

It is a super-2 number, since 2×11221485242112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1092535537 + ... + 1092545807.

It is an arithmetic number, because the mean of its divisors is an integer number (150723930448).

Almost surely, 2^{11221485242112} is an apocalyptic number.

11221485242112 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 11221485242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16278184488384).

11221485242112 is an abundant number, since it is smaller than the sum of its proper divisors (21334883734656).

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

11221485242112 is a wasteful number, since it uses less digits than its factorization.

11221485242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13207 (or 13190 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The spelling of 11221485242112 in words is "eleven trillion, two hundred twenty-one billion, four hundred eighty-five million, two hundred forty-two thousand, one hundred twelve".