240552205412121 has 48 divisors (see below), whose sum is σ = 353437700587920. Its totient is φ = 157627239045120.

The previous prime is 240552205412107. The next prime is 240552205412131. The reversal of 240552205412121 is 121214502255042.

It is a happy number.

240552205412121 is a `hidden beast` number, since 2 + 4 + 0 + 5 + 5 + 220 + 5 + 412 + 12 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 74050241510025 + 166501963902096 = 8605245^2 + 12903564^2 .

It is not a de Polignac number, because 240552205412121 - 2⁵ = 240552205412089 is a prime.

It is a super-4 number, since 4×240552205412121⁴ (a number of 59 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (240552205412131) 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, 225866341 + ... + 226928861.

It is an arithmetic number, because the mean of its divisors is an integer number (7363285428915).

Almost surely, 2^{240552205412121} is an apocalyptic number.

It is an amenable number.

240552205412121 is a deficient number, since it is larger than the sum of its proper divisors (112885495175799).

240552205412121 is a wasteful number, since it uses less digits than its factorization.

240552205412121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063786 (or 1063783 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 240552205412121 its reverse (121214502255042), we get a palindrome (361766707667163).

The spelling of 240552205412121 in words is "two hundred forty trillion, five hundred fifty-two billion, two hundred five million, four hundred twelve thousand, one hundred twenty-one".