201330122240 has 320 divisors, whose sum is σ = 534153312000. Its totient is φ = 72321859584.

The previous prime is 201330122221. The next prime is 201330122269. The reversal of 201330122240 is 42221033102.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191925236 + ... + 191926284.

It is an arithmetic number, because the mean of its divisors is an integer number (1669229100).

Almost surely, 2^201330122240 is an apocalyptic number.

201330122240 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 201330122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267076656000).

201330122240 is an abundant number, since it is smaller than the sum of its proper divisors (332823189760).

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

201330122240 is a wasteful number, since it uses less digits than its factorization.

201330122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 201330122240 its reverse (42221033102), we get a palindrome (243551155342).

The spelling of 201330122240 in words is "two hundred one billion, three hundred thirty million, one hundred twenty-two thousand, two hundred forty".