201012341200 has 240 divisors, whose sum is σ = 533892114432. Its totient is φ = 72121600000.

The previous prime is 201012341191. The next prime is 201012341209. The reversal of 201012341200 is 2143210102.

201012341200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201012341191) and next prime (201012341209).

It is a super-2 number, since 2×201012341200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012341209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170204610 + ... + 170205790.

Almost surely, 2^201012341200 is an apocalyptic number.

201012341200 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 201012341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266946057216).

201012341200 is an abundant number, since it is smaller than the sum of its proper divisors (332879773232).

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

201012341200 is a wasteful number, since it uses less digits than its factorization.

201012341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 201012341200 its reverse (2143210102), we get a palindrome (203155551302).

The spelling of 201012341200 in words is "two hundred one billion, twelve million, three hundred forty-one thousand, two hundred".