2032142212200 has 384 divisors, whose sum is σ = 6526438531200. Its totient is φ = 522719232000.

The previous prime is 2032142212181. The next prime is 2032142212277. The reversal of 2032142212200 is 22122412302.

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, 1720695610 + ... + 1720696790.

It is an arithmetic number, because the mean of its divisors is an integer number (16995933675).

Almost surely, 2^{2032142212200} is an apocalyptic number.

2032142212200 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 2032142212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263219265600).

2032142212200 is an abundant number, since it is smaller than the sum of its proper divisors (4494296319000).

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

2032142212200 is a wasteful number, since it uses less digits than its factorization.

2032142212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2032142212200 its reverse (22122412302), we get a palindrome (2054264624502).

The spelling of 2032142212200 in words is "two trillion, thirty-two billion, one hundred forty-two million, two hundred twelve thousand, two hundred".