12201829152 has 192 divisors, whose sum is σ = 35151750144. Its totient is φ = 3689349120.

The previous prime is 12201829109. The next prime is 12201829163. The reversal of 12201829152 is 25192810221.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21906058 + ... + 21906614.

It is an arithmetic number, because the mean of its divisors is an integer number (183082032).

Almost surely, 2^12201829152 is an apocalyptic number.

12201829152 is a gapful number since it is divisible by the number (12) 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 12201829152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17575875072).

12201829152 is an abundant number, since it is smaller than the sum of its proper divisors (22949920992).

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

12201829152 is a wasteful number, since it uses less digits than its factorization.

12201829152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 12201829152 in words is "twelve billion, two hundred one million, eight hundred twenty-nine thousand, one hundred fifty-two".