11523103121400 has 192 divisors, whose sum is σ = 38477548216800. Its totient is φ = 2835858063360.

The previous prime is 11523103121393. The next prime is 11523103121401. The reversal of 11523103121400 is 412130132511.

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 (11523103121401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37419256 + ... + 37725944.

Almost surely, 2^{11523103121400} is an apocalyptic number.

11523103121400 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 11523103121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19238774108400).

11523103121400 is an abundant number, since it is smaller than the sum of its proper divisors (26954445095400).

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

11523103121400 is a wasteful number, since it uses less digits than its factorization.

11523103121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311538 (or 311529 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 11523103121400 its reverse (412130132511), we get a palindrome (11935233253911).

The spelling of 11523103121400 in words is "eleven trillion, five hundred twenty-three billion, one hundred three million, one hundred twenty-one thousand, four hundred".