201220224134041 has 48 divisors (see below), whose sum is σ = 235465403256720. Its totient is φ = 171451392000000.

The previous prime is 201220224134021. The next prime is 201220224134051. The reversal of 201220224134041 is 140431422022102.

It can be written as a sum of positive squares in 8 ways, for example, as 440392831641 + 200779831302400 = 663621^2 + 14169680^2 .

It is not a de Polignac number, because 201220224134041 - 2⁷ = 201220224133913 is a prime.

It is a super-2 number, since 2×201220224134041² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201220224134021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12575470041 + ... + 12575486041.

It is an arithmetic number, because the mean of its divisors is an integer number (4905529234515).

Almost surely, 2^{201220224134041} is an apocalyptic number.

It is an amenable number.

201220224134041 is a deficient number, since it is larger than the sum of its proper divisors (34245179122679).

201220224134041 is a wasteful number, since it uses less digits than its factorization.

201220224134041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18346 (or 18339 counting only the distinct ones).

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

Adding to 201220224134041 its reverse (140431422022102), we get a palindrome (341651646156143).

The spelling of 201220224134041 in words is "two hundred one trillion, two hundred twenty billion, two hundred twenty-four million, one hundred thirty-four thousand, forty-one".