12420575211000 has 256 divisors, whose sum is σ = 42297009131520. Its totient is φ = 3009489600000.

The previous prime is 12420575210947. The next prime is 12420575211017. The reversal of 12420575211000 is 11257502421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64286542 + ... + 64479458.

It is an arithmetic number, because the mean of its divisors is an integer number (165222691920).

Almost surely, 2^{12420575211000} is an apocalyptic number.

12420575211000 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 12420575211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21148504565760).

12420575211000 is an abundant number, since it is smaller than the sum of its proper divisors (29876433920520).

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

12420575211000 is a wasteful number, since it uses less digits than its factorization.

12420575211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194903 (or 194889 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The spelling of 12420575211000 in words is "twelve trillion, four hundred twenty billion, five hundred seventy-five million, two hundred eleven thousand".