201122012000000 has 1008 divisors, whose sum is σ = 619291496717376. Its totient is φ = 63479808000000.

The previous prime is 201122011999969. The next prime is 201122012000023. The reversal of 201122012000000 is 210221102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 244971999590 + ... + 244972000410.

Almost surely, 2^{201122012000000} is an apocalyptic number.

201122012000000 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 201122012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309645748358688).

201122012000000 is an abundant number, since it is smaller than the sum of its proper divisors (418169484717376).

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

201122012000000 is an frugal number, since it uses more digits than its factorization.

201122012000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201122012000000 its reverse (210221102), we get a palindrome (201122222221102).

The spelling of 201122012000000 in words is "two hundred one trillion, one hundred twenty-two billion, twelve million", and thus it is an aban number.