12348501073920 has 1344 divisors, whose sum is σ = 50310860341248. Its totient is φ = 2770403328000.

The previous prime is 12348501073919. The next prime is 12348501073939. The reversal of 12348501073920 is 2937010584321.

It is a happy number.

12348501073920 is a `hidden beast` number, since 1 + 2 + 3 + 485 + 0 + 10 + 73 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2891241385 + ... + 2891245655.

Almost surely, 2^{12348501073920} is an apocalyptic number.

12348501073920 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 12348501073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25155430170624).

12348501073920 is an abundant number, since it is smaller than the sum of its proper divisors (37962359267328).

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

12348501073920 is a wasteful number, since it uses less digits than its factorization.

12348501073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4373 (or 4346 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12348501073920 in words is "twelve trillion, three hundred forty-eight billion, five hundred one million, seventy-three thousand, nine hundred twenty".