2011213021200 has 240 divisors, whose sum is σ = 6748880294016. Its totient is φ = 511007129600.

The previous prime is 2011213021199. The next prime is 2011213021217. The reversal of 2011213021200 is 21203121102.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2011213021200.

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, 6951430 + ... + 7234970.

Almost surely, 2^{2011213021200} is an apocalyptic number.

2011213021200 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 2011213021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374440147008).

2011213021200 is an abundant number, since it is smaller than the sum of its proper divisors (4737667272816).

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

2011213021200 is a wasteful number, since it uses less digits than its factorization.

2011213021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283842 (or 283831 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2011213021200 its reverse (21203121102), we get a palindrome (2032416142302).

The spelling of 2011213021200 in words is "two trillion, eleven billion, two hundred thirteen million, twenty-one thousand, two hundred".