20201012011200 has 336 divisors, whose sum is σ = 68929061511680. Its totient is φ = 5174993940480.

The previous prime is 20201012011181. The next prime is 20201012011207. The reversal of 20201012011200 is 211021010202.

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

It is not an unprimeable number, because it can be changed into a prime (20201012011207) 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, 13310499 + ... + 14750301.

Almost surely, 2^{20201012011200} is an apocalyptic number.

20201012011200 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 20201012011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34464530755840).

20201012011200 is an abundant number, since it is smaller than the sum of its proper divisors (48728049500480).

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

20201012011200 is a wasteful number, since it uses less digits than its factorization.

20201012011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439944 (or 1439929 counting only the distinct ones).

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

Adding to 20201012011200 its reverse (211021010202), we get a palindrome (20412033021402).

The spelling of 20201012011200 in words is "twenty trillion, two hundred one billion, twelve million, eleven thousand, two hundred".