201222011001000 has 2048 divisors, whose sum is σ = 754617876480000. Its totient is φ = 44145221120000.

The previous prime is 201222011000957. The next prime is 201222011001013. The reversal of 201222011001000 is 100110222102.

It is a super-2 number, since 2×201222011001000² (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 polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 134237498251 + ... + 134237499749.

It is an arithmetic number, because the mean of its divisors is an integer number (368465760000).

Almost surely, 2^{201222011001000} is an apocalyptic number.

201222011001000 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 201222011001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377308938240000).

201222011001000 is an abundant number, since it is smaller than the sum of its proper divisors (553395865479000).

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

201222011001000 is a wasteful number, since it uses less digits than its factorization.

201222011001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1714 counting only the distinct ones).

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

Adding to 201222011001000 its reverse (100110222102), we get a palindrome (201322121223102).

The spelling of 201222011001000 in words is "two hundred one trillion, two hundred twenty-two billion, eleven million, one thousand".