201220021200000 has 768 divisors, whose sum is σ = 729203921712000. Its totient is φ = 48753868800000.

The previous prime is 201220021199957. The next prime is 201220021200019. The reversal of 201220021200000 is 2120022102.

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

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, 35494797166 + ... + 35494802834.

Almost surely, 2^{201220021200000} is an apocalyptic number.

201220021200000 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 201220021200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364601960856000).

201220021200000 is an abundant number, since it is smaller than the sum of its proper divisors (527983900512000).

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

201220021200000 is an equidigital number, since it uses as much as digits as its factorization.

201220021200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8411 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201220021200000 its reverse (2120022102), we get a palindrome (201222141222102).

The spelling of 201220021200000 in words is "two hundred one trillion, two hundred twenty billion, twenty-one million, two hundred thousand".