11122410000 has 600 divisors, whose sum is σ = 41325271680. Its totient is φ = 2560896000.

The previous prime is 11122409939. The next prime is 11122410001. The reversal of 11122410000 is 1422111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122410001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 140789961 + ... + 140790039.

Almost surely, 2^11122410000 is an apocalyptic number.

11122410000 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 11122410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20662635840).

11122410000 is an abundant number, since it is smaller than the sum of its proper divisors (30202861680).

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

11122410000 is a wasteful number, since it uses less digits than its factorization.

11122410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 121 counting only the distinct ones).

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

Adding to 11122410000 its reverse (1422111), we get a palindrome (11123832111).

The spelling of 11122410000 in words is "eleven billion, one hundred twenty-two million, four hundred ten thousand".