201201012012000 has 3072 divisors, whose sum is σ = 951441679319040. Its totient is φ = 35781046272000.

The previous prime is 201201012011873. The next prime is 201201012012001. The reversal of 201201012012000 is 210210102102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201201012012001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 10726706622 + ... + 10726725378.

It is an arithmetic number, because the mean of its divisors is an integer number (309714088320).

Almost surely, 2^{201201012012000} is an apocalyptic number.

201201012012000 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 201201012012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475720839659520).

201201012012000 is an abundant number, since it is smaller than the sum of its proper divisors (750240667307040).

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

201201012012000 is a wasteful number, since it uses less digits than its factorization.

201201012012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18882 (or 18864 counting only the distinct ones).

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

Adding to 201201012012000 its reverse (210210102102), we get a palindrome (201411222114102).

The spelling of 201201012012000 in words is "two hundred one trillion, two hundred one billion, twelve million, twelve thousand".