11110242000 has 640 divisors, whose sum is σ = 43989184512. Its totient is φ = 2373888000.

The previous prime is 11110241983. The next prime is 11110242019. The reversal of 11110242000 is 24201111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19733719 + ... + 19734281.

Almost surely, 2^11110242000 is an apocalyptic number.

11110242000 is a gapful number since it is divisible by the number (10) 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 11110242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21994592256).

11110242000 is an abundant number, since it is smaller than the sum of its proper divisors (32878942512).

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

11110242000 is a wasteful number, since it uses less digits than its factorization.

11110242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11110242000 its reverse (24201111), we get a palindrome (11134443111).

It can be divided in two parts, 11 and 110242000, that added together give a palindrome (110242011).

The spelling of 11110242000 in words is "eleven billion, one hundred ten million, two hundred forty-two thousand".