201122022112000 has 576 divisors, whose sum is σ = 575047459703808. Its totient is φ = 69955145216000.

The previous prime is 201122022111971. The next prime is 201122022112049. The reversal of 201122022112000 is 211220221102.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 979513347 + ... + 979718653.

It is an arithmetic number, because the mean of its divisors is an integer number (998346284208).

Almost surely, 2^{201122022112000} is an apocalyptic number.

201122022112000 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 201122022112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287523729851904).

201122022112000 is an abundant number, since it is smaller than the sum of its proper divisors (373925437591808).

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

201122022112000 is an equidigital number, since it uses as much as digits as its factorization.

201122022112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205394 (or 205348 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201122022112000 its reverse (211220221102), we get a palindrome (201333242333102).

The spelling of 201122022112000 in words is "two hundred one trillion, one hundred twenty-two billion, twenty-two million, one hundred twelve thousand".