13121122220240 has 20 divisors (see below), whose sum is σ = 30506609162244. Its totient is φ = 5248448888064.

The previous prime is 13121122220231. The next prime is 13121122220251. The reversal of 13121122220240 is 4202222112131.

It can be written as a sum of positive squares in 2 ways, for example, as 3477314939536 + 9643807280704 = 1864756^2 + 3105448^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-4 number, since 4×13121122220240⁴ (a number of 54 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82007013797 + ... + 82007013956.

Almost surely, 2^{13121122220240} is an apocalyptic number.

13121122220240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121122220240 is an abundant number, since it is smaller than the sum of its proper divisors (17385486942004).

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

13121122220240 is a wasteful number, since it uses less digits than its factorization.

13121122220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164014027766 (or 164014027760 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 13121122220240 its reverse (4202222112131), we get a palindrome (17323344332371).

The spelling of 13121122220240 in words is "thirteen trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred twenty thousand, two hundred forty".