201122420124340 has 288 divisors, whose sum is σ = 530381141619840. Its totient is φ = 63323230464000.

The previous prime is 201122420124337. The next prime is 201122420124349. The reversal of 201122420124340 is 43421024221102.

It is a junction number, because it is equal to n+sod(n) for n = 201122420124299 and 201122420124308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122420124349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69938982 + ... + 72757858.

It is an arithmetic number, because the mean of its divisors is an integer number (1841601186180).

Almost surely, 2^{201122420124340} is an apocalyptic number.

201122420124340 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 201122420124340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265190570809920).

201122420124340 is an abundant number, since it is smaller than the sum of its proper divisors (329258721495500).

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

201122420124340 is a wasteful number, since it uses less digits than its factorization.

201122420124340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819043 (or 2819028 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 201122420124340 its reverse (43421024221102), we get a palindrome (244543444345442).

The spelling of 201122420124340 in words is "two hundred one trillion, one hundred twenty-two billion, four hundred twenty million, one hundred twenty-four thousand, three hundred forty".