12113550002400 has 576 divisors, whose sum is σ = 49213170155520. Its totient is φ = 2514327091200.

The previous prime is 12113550002387. The next prime is 12113550002423. The reversal of 12113550002400 is 420005531121.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169795537 + ... + 169866863.

It is an arithmetic number, because the mean of its divisors is an integer number (85439531520).

Almost surely, 2^{12113550002400} is an apocalyptic number.

12113550002400 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 12113550002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24606585077760).

12113550002400 is an abundant number, since it is smaller than the sum of its proper divisors (37099620153120).

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

12113550002400 is a wasteful number, since it uses less digits than its factorization.

12113550002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72287 (or 72274 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 12113550002400 its reverse (420005531121), we get a palindrome (12533555533521).

The spelling of 12113550002400 in words is "twelve trillion, one hundred thirteen billion, five hundred fifty million, two thousand, four hundred".