11342314224120 has 256 divisors, whose sum is σ = 39307655116800. Its totient is φ = 2587657052160.

The previous prime is 11342314224091. The next prime is 11342314224151. The reversal of 11342314224120 is 2142241324311.

It is a happy number.

11342314224120 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332027601 + ... + 332061759.

It is an arithmetic number, because the mean of its divisors is an integer number (153545527800).

Almost surely, 2^{11342314224120} is an apocalyptic number.

11342314224120 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 11342314224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19653827558400).

11342314224120 is an abundant number, since it is smaller than the sum of its proper divisors (27965340892680).

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

11342314224120 is a wasteful number, since it uses less digits than its factorization.

11342314224120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48998 (or 48994 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 11342314224120 its reverse (2142241324311), we get a palindrome (13484555548431).

The spelling of 11342314224120 in words is "eleven trillion, three hundred forty-two billion, three hundred fourteen million, two hundred twenty-four thousand, one hundred twenty".