201123344041120 has 24 divisors (see below), whose sum is σ = 475153900297524. Its totient is φ = 80449337616384.

The previous prime is 201123344041111. The next prime is 201123344041129. The reversal of 201123344041120 is 21140443321102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201123344041111) and next prime (201123344041129).

It can be written as a sum of positive squares in 2 ways, for example, as 181580260429584 + 19543083611536 = 13475172^2 + 4420756^2 .

It is not an unprimeable number, because it can be changed into a prime (201123344041129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 628510449969 + ... + 628510450288.

Almost surely, 2^{201123344041120} is an apocalyptic number.

201123344041120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201123344041120 is an abundant number, since it is smaller than the sum of its proper divisors (274030556256404).

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

201123344041120 is a wasteful number, since it uses less digits than its factorization.

201123344041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257020900272 (or 1257020900264 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 201123344041120 its reverse (21140443321102), we get a palindrome (222263787362222).

The spelling of 201123344041120 in words is "two hundred one trillion, one hundred twenty-three billion, three hundred forty-four million, forty-one thousand, one hundred twenty".