11224101240000 has 420 divisors, whose sum is σ = 43856694521640. Its totient is φ = 2720993280000.

The previous prime is 11224101239993. The next prime is 11224101240049. The reversal of 11224101240000 is 4210142211.

11224101240000 is a `hidden beast` number, since 1 + 12 + 2 + 410 + 1 + 240 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2542816 + ... + 5377184.

It is an arithmetic number, because the mean of its divisors is an integer number (104420701242).

Almost surely, 2^{11224101240000} is an apocalyptic number.

11224101240000 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 11224101240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21928347260820).

11224101240000 is an abundant number, since it is smaller than the sum of its proper divisors (32632593281640).

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

11224101240000 is a wasteful number, since it uses less digits than its factorization.

11224101240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834418 (or 2834390 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11224101240000 its reverse (4210142211), we get a palindrome (11228311382211).

The spelling of 11224101240000 in words is "eleven trillion, two hundred twenty-four billion, one hundred one million, two hundred forty thousand".