201012001201200 has 360 divisors, whose sum is σ = 752800398643200. Its totient is φ = 45714715200000.

The previous prime is 201012001201183. The next prime is 201012001201241. The reversal of 201012001201200 is 2102100210102.

It is a super-2 number, since 2×201012001201200² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3111825 + ... + 20290575.

Almost surely, 2^{201012001201200} is an apocalyptic number.

201012001201200 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 201012001201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376400199321600).

201012001201200 is an abundant number, since it is smaller than the sum of its proper divisors (551788397442000).

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

201012001201200 is a wasteful number, since it uses less digits than its factorization.

201012001201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17178985 (or 17178967 counting only the distinct ones).

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

Adding to 201012001201200 its reverse (2102100210102), we get a palindrome (203114101411302).

The spelling of 201012001201200 in words is "two hundred one trillion, twelve billion, one million, two hundred one thousand, two hundred".