201140322120 has 128 divisors (see below), whose sum is σ = 680474966400. Its totient is φ = 52836841728.

The previous prime is 201140322107. The next prime is 201140322127. The reversal of 201140322120 is 21223041102.

It is a happy number.

201140322120 is a `hidden beast` number, since 20 + 1 + 1 + 403 + 221 + 20 = 666.

It is a super-2 number, since 2×201140322120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201140322093 and 201140322102.

It is not an unprimeable number, because it can be changed into a prime (201140322127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1317499 + ... + 1462218.

It is an arithmetic number, because the mean of its divisors is an integer number (5316210675).

Almost surely, 2^201140322120 is an apocalyptic number.

201140322120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201140322120 is an abundant number, since it is smaller than the sum of its proper divisors (479334644280).

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

201140322120 is a wasteful number, since it uses less digits than its factorization.

201140322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779804 (or 2779794 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201140322120 its reverse (21223041102), we get a palindrome (222363363222).

The spelling of 201140322120 in words is "two hundred one billion, one hundred forty million, three hundred twenty-two thousand, one hundred twenty".