11302201240000 has 560 divisors, whose sum is σ = 31433439454560. Its totient is φ = 3995729920000.

The previous prime is 11302201239983. The next prime is 11302201240007. The reversal of 11302201240000 is 4210220311.

11302201240000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11302201240007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2635157856 + ... + 2635162144.

Almost surely, 2^{11302201240000} is an apocalyptic number.

11302201240000 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 11302201240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15716719727280).

11302201240000 is an abundant number, since it is smaller than the sum of its proper divisors (20131238214560).

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

11302201240000 is a wasteful number, since it uses less digits than its factorization.

11302201240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4498 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11302201240000 its reverse (4210220311), we get a palindrome (11306411460311).

The spelling of 11302201240000 in words is "eleven trillion, three hundred two billion, two hundred one million, two hundred forty thousand".