12122869572000 has 576 divisors, whose sum is σ = 47032467326208. Its totient is φ = 2932796160000.

The previous prime is 12122869571999. The next prime is 12122869572061. The reversal of 12122869572000 is 27596822121.

12122869572000 is a `hidden beast` number, since 1 + 2 + 12 + 2 + 8 + 69 + 572 + 0 + 0 + 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, 192820570 + ... + 192883430.

It is an arithmetic number, because the mean of its divisors is an integer number (81653589108).

Almost surely, 2^{12122869572000} is an apocalyptic number.

12122869572000 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 12122869572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23516233663104).

12122869572000 is an abundant number, since it is smaller than the sum of its proper divisors (34909597754208).

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

12122869572000 is a wasteful number, since it uses less digits than its factorization.

12122869572000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63390 (or 63369 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 12122869572000 in words is "twelve trillion, one hundred twenty-two billion, eight hundred sixty-nine million, five hundred seventy-two thousand".