12200198829000 has 1024 divisors, whose sum is σ = 47755588608000. Its totient is φ = 2524495564800.

The previous prime is 12200198828953. The next prime is 12200198829023. The reversal of 12200198829000 is 92889100221.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11001080446 + ... + 11001081554.

It is an arithmetic number, because the mean of its divisors is an integer number (46636317000).

Almost surely, 2^{12200198829000} is an apocalyptic number.

12200198829000 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 12200198829000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23877794304000).

12200198829000 is an abundant number, since it is smaller than the sum of its proper divisors (35555389779000).

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

12200198829000 is a wasteful number, since it uses less digits than its factorization.

12200198829000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 12200198829000 in words is "twelve trillion, two hundred billion, one hundred ninety-eight million, eight hundred twenty-nine thousand".