12473735227600 has 240 divisors, whose sum is σ = 31926600316800. Its totient is φ = 4669861109760.

The previous prime is 12473735227573. The next prime is 12473735227627. The reversal of 12473735227600 is 672253737421.

It is an interprime number because it is at equal distance from previous prime (12473735227573) and next prime (12473735227627).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 881342124 + ... + 881356276.

It is an arithmetic number, because the mean of its divisors is an integer number (133027501320).

Almost surely, 2^{12473735227600} is an apocalyptic number.

12473735227600 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 12473735227600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15963300158400).

12473735227600 is an abundant number, since it is smaller than the sum of its proper divisors (19452865089200).

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

12473735227600 is a wasteful number, since it uses less digits than its factorization.

12473735227600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15582 (or 15571 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 49.

The spelling of 12473735227600 in words is "twelve trillion, four hundred seventy-three billion, seven hundred thirty-five million, two hundred twenty-seven thousand, six hundred".