33122040240341 has 24 divisors (see below), whose sum is σ = 36206666497800. Its totient is φ = 30284032536576.

The previous prime is 33122040240271. The next prime is 33122040240361. The reversal of 33122040240341 is 14304204022133.

It can be written as a sum of positive squares in 12 ways, for example, as 29887542302500 + 3234497937841 = 5466950^2 + 1798471^2 .

It is not a de Polignac number, because 33122040240341 - 2²⁶ = 33121973131477 is a prime.

It is a super-3 number, since 3×33122040240341³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33122040240361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29021405 + ... + 30141101.

It is an arithmetic number, because the mean of its divisors is an integer number (1508611104075).

Almost surely, 2^{33122040240341} is an apocalyptic number.

It is an amenable number.

33122040240341 is a deficient number, since it is larger than the sum of its proper divisors (3084626257459).

33122040240341 is a wasteful number, since it uses less digits than its factorization.

33122040240341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121385 (or 1121372 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 33122040240341 its reverse (14304204022133), we get a palindrome (47426244262474).

The spelling of 33122040240341 in words is "thirty-three trillion, one hundred twenty-two billion, forty million, two hundred forty thousand, three hundred forty-one".