12373435075200 has 384 divisors, whose sum is σ = 41052372480000. Its totient is φ = 3275559383040.

The previous prime is 12373435075181. The next prime is 12373435075213. The reversal of 12373435075200 is 257053437321.

It is a tau number, because it is divible by the number of its divisors (384).

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, 1345080201 + ... + 1345089399.

It is an arithmetic number, because the mean of its divisors is an integer number (106907220000).

Almost surely, 2^{12373435075200} is an apocalyptic number.

12373435075200 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 12373435075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20526186240000).

12373435075200 is an abundant number, since it is smaller than the sum of its proper divisors (28678937404800).

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

12373435075200 is a wasteful number, since it uses less digits than its factorization.

12373435075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10232 (or 10215 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 42.

The spelling of 12373435075200 in words is "twelve trillion, three hundred seventy-three billion, four hundred thirty-five million, seventy-five thousand, two hundred".