4202112032200 has 192 divisors, whose sum is σ = 9983876616000. Its totient is φ = 1644533760000.

The previous prime is 4202112032143. The next prime is 4202112032203. The reversal of 4202112032200 is 22302112024.

It is not an unprimeable number, because it can be changed into a prime (4202112032203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667104651 + ... + 667110949.

It is an arithmetic number, because the mean of its divisors is an integer number (51999357375).

Almost surely, 2^{4202112032200} is an apocalyptic number.

4202112032200 is a gapful number since it is divisible by the number (40) 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 4202112032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991938308000).

4202112032200 is an abundant number, since it is smaller than the sum of its proper divisors (5781764583800).

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

4202112032200 is a wasteful number, since it uses less digits than its factorization.

4202112032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6800 (or 6791 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 4202112032200 its reverse (22302112024), we get a palindrome (4224414144224).

The spelling of 4202112032200 in words is "four trillion, two hundred two billion, one hundred twelve million, thirty-two thousand, two hundred".