2012122333200 has 240 divisors, whose sum is σ = 7367436231680. Its totient is φ = 459841743360.

The previous prime is 2012122333163. The next prime is 2012122333201. The reversal of 2012122333200 is 23332212102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2012122333201) 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, 68688957 + ... + 68718243.

Almost surely, 2^{2012122333200} is an apocalyptic number.

2012122333200 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 2012122333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683718115840).

2012122333200 is an abundant number, since it is smaller than the sum of its proper divisors (5355313898480).

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

2012122333200 is a wasteful number, since it uses less digits than its factorization.

2012122333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37494 (or 37483 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2012122333200 its reverse (23332212102), we get a palindrome (2035454545302).

The spelling of 2012122333200 in words is "two trillion, twelve billion, one hundred twenty-two million, three hundred thirty-three thousand, two hundred".