12113054773600 has 288 divisors, whose sum is σ = 32371882254432. Its totient is φ = 4389396480000.

The previous prime is 12113054773591. The next prime is 12113054773601. The reversal of 12113054773600 is 637745031121.

It is a super-3 number, since 3×12113054773600³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12113054773601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6005479792 + ... + 6005481808.

It is an arithmetic number, because the mean of its divisors is an integer number (112402368939).

Almost surely, 2^{12113054773600} is an apocalyptic number.

12113054773600 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 12113054773600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16185941127216).

12113054773600 is an abundant number, since it is smaller than the sum of its proper divisors (20258827480832).

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

12113054773600 is a wasteful number, since it uses less digits than its factorization.

12113054773600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 12113054773600 in words is "twelve trillion, one hundred thirteen billion, fifty-four million, seven hundred seventy-three thousand, six hundred".