11523516214120 has 64 divisors (see below), whose sum is σ = 26076327056640. Its totient is φ = 4583064326400.

The previous prime is 11523516214081. The next prime is 11523516214141. The reversal of 11523516214120 is 2141261532511.

11523516214120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7948609 + ... + 9285871.

It is an arithmetic number, because the mean of its divisors is an integer number (407442610260).

Almost surely, 2^{11523516214120} is an apocalyptic number.

11523516214120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11523516214120 is an abundant number, since it is smaller than the sum of its proper divisors (14552810842520).

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

11523516214120 is a wasteful number, since it uses less digits than its factorization.

11523516214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338506 (or 1338502 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

Adding to 11523516214120 its reverse (2141261532511), we get a palindrome (13664777746631).

The spelling of 11523516214120 in words is "eleven trillion, five hundred twenty-three billion, five hundred sixteen million, two hundred fourteen thousand, one hundred twenty".