11303412240120 has 1536 divisors, whose sum is σ = 48960791470080. Its totient is φ = 2015453675520.

The previous prime is 11303412240101. The next prime is 11303412240121. The reversal of 11303412240120 is 2104221430311.

It is a super-2 number, since 2×11303412240120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11303412240121) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2881316479 + ... + 2881320401.

It is an arithmetic number, because the mean of its divisors is an integer number (31875515280).

Almost surely, 2^{11303412240120} is an apocalyptic number.

11303412240120 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 11303412240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24480395735040).

11303412240120 is an abundant number, since it is smaller than the sum of its proper divisors (37657379229960).

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

11303412240120 is a wasteful number, since it uses less digits than its factorization.

11303412240120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4085 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11303412240120 its reverse (2104221430311), we get a palindrome (13407633670431).

The spelling of 11303412240120 in words is "eleven trillion, three hundred three billion, four hundred twelve million, two hundred forty thousand, one hundred twenty".