2201210012000 has 96 divisors (see below), whose sum is σ = 5419668683520. Its totient is φ = 878645068800.

The previous prime is 2201210011961. The next prime is 2201210012003. The reversal of 2201210012000 is 2100121022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201210012003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1341572 + ... + 2490428.

It is an arithmetic number, because the mean of its divisors is an integer number (56454882120).

Almost surely, 2^{2201210012000} is an apocalyptic number.

2201210012000 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 2201210012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709834341760).

2201210012000 is an abundant number, since it is smaller than the sum of its proper divisors (3218458671520).

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

2201210012000 is a wasteful number, since it uses less digits than its factorization.

2201210012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149361 (or 1149343 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2201210012000 its reverse (2100121022), we get a palindrome (2203310133022).

The spelling of 2201210012000 in words is "two trillion, two hundred one billion, two hundred ten million, twelve thousand".