2012211001200 has 240 divisors, whose sum is σ = 6534457053696. Its totient is φ = 529248384000.

The previous prime is 2012211001193. The next prime is 2012211001201. The reversal of 2012211001200 is 21001122102.

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

It is a super-2 number, since 2×2012211001200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012211001201) 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, 31844037 + ... + 31907163.

Almost surely, 2^{2012211001200} is an apocalyptic number.

2012211001200 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 2012211001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267228526848).

2012211001200 is an abundant number, since it is smaller than the sum of its proper divisors (4522246052496).

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

2012211001200 is a wasteful number, since it uses less digits than its factorization.

2012211001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63512 (or 63501 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2012211001200 its reverse (21001122102), we get a palindrome (2033212123302).

The spelling of 2012211001200 in words is "two trillion, twelve billion, two hundred eleven million, one thousand, two hundred".