11337242112 has 400 divisors, whose sum is σ = 39511533600. Its totient is φ = 3235147776.

The previous prime is 11337242101. The next prime is 11337242117. The reversal of 11337242112 is 21124273311.

It is a super-2 number, since 2×11337242112² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11337242117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14224498 + ... + 14225294.

It is an arithmetic number, because the mean of its divisors is an integer number (98778834).

Almost surely, 2^11337242112 is an apocalyptic number.

11337242112 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 11337242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19755766800).

11337242112 is an abundant number, since it is smaller than the sum of its proper divisors (28174291488).

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

11337242112 is an frugal number, since it uses more digits than its factorization.

11337242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 809 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The spelling of 11337242112 in words is "eleven billion, three hundred thirty-seven million, two hundred forty-two thousand, one hundred twelve".