201122121120 has 96 divisors (see below), whose sum is σ = 634330787328. Its totient is φ = 53565170688.

The previous prime is 201122121103. The next prime is 201122121139. The reversal of 201122121120 is 21121221102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201122121120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119697 + ... + 645423.

It is an arithmetic number, because the mean of its divisors is an integer number (6607612368).

Almost surely, 2^201122121120 is an apocalyptic number.

201122121120 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 201122121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317165393664).

201122121120 is an abundant number, since it is smaller than the sum of its proper divisors (433208666208).

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

201122121120 is a wasteful number, since it uses less digits than its factorization.

201122121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526542 (or 526534 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201122121120 its reverse (21121221102), we get a palindrome (222243342222).

The spelling of 201122121120 in words is "two hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".