201122121200 has 480 divisors, whose sum is σ = 682937955840. Its totient is φ = 54817689600.

The previous prime is 201122121199. The next prime is 201122121217. The reversal of 201122121200 is 2121221102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7594382 + ... + 7620818.

It is an arithmetic number, because the mean of its divisors is an integer number (1422787408).

Almost surely, 2^201122121200 is an apocalyptic number.

201122121200 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 201122121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341468977920).

201122121200 is an abundant number, since it is smaller than the sum of its proper divisors (481815834640).

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

201122121200 is a wasteful number, since it uses less digits than its factorization.

201122121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26505 (or 26494 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201122121200 its reverse (2121221102), we get a palindrome (203243342302).

The spelling of 201122121200 in words is "two hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred".