2214142032200 has 192 divisors, whose sum is σ = 6033071358720. Its totient is φ = 739846656000.

The previous prime is 2214142032191. The next prime is 2214142032233. The reversal of 2214142032200 is 22302414122.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56404580 + ... + 56443820.

It is an arithmetic number, because the mean of its divisors is an integer number (31422246660).

Almost surely, 2^{2214142032200} is an apocalyptic number.

2214142032200 is a gapful number since it is divisible by the number (20) 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 2214142032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016535679360).

2214142032200 is an abundant number, since it is smaller than the sum of its proper divisors (3818929326520).

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

2214142032200 is a wasteful number, since it uses less digits than its factorization.

2214142032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40288 (or 40279 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 2214142032200 its reverse (22302414122), we get a palindrome (2236444446322).

The spelling of 2214142032200 in words is "two trillion, two hundred fourteen billion, one hundred forty-two million, thirty-two thousand, two hundred".