201122121220000 has 120 divisors (see below), whose sum is σ = 494824572950400. Its totient is φ = 80443322592000.

The previous prime is 201122121219983. The next prime is 201122121220277. The reversal of 201122121220000 is 22121221102.

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 19 ways as a sum of consecutive naturals, for example, 297242071 + ... + 297917929.

It is an arithmetic number, because the mean of its divisors is an integer number (4123538107920).

Almost surely, 2^{201122121220000} is an apocalyptic number.

201122121220000 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 201122121220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247412286475200).

201122121220000 is an abundant number, since it is smaller than the sum of its proper divisors (293702451730400).

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

201122121220000 is an equidigital number, since it uses as much as digits as its factorization.

201122121220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690768 (or 690745 counting only the distinct ones).

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

Adding to 201122121220000 its reverse (22121221102), we get a palindrome (201144242441102).

The spelling of 201122121220000 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty thousand".