12121231100240 has 40 divisors (see below), whose sum is σ = 28219090800840. Its totient is φ = 4842087538176.

The previous prime is 12121231100207. The next prime is 12121231100243. The reversal of 12121231100240 is 4200113212121.

It can be written as a sum of positive squares in 4 ways, for example, as 5239759058704 + 6881472041536 = 2289052^2 + 2623256^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121231100243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100015655 + ... + 100136774.

It is an arithmetic number, because the mean of its divisors is an integer number (705477270021).

Almost surely, 2^{12121231100240} is an apocalyptic number.

12121231100240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121231100240 is an abundant number, since it is smaller than the sum of its proper divisors (16097859700600).

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

12121231100240 is a wasteful number, since it uses less digits than its factorization.

12121231100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200153199 (or 200153193 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12121231100240 its reverse (4200113212121), we get a palindrome (16321344312361).

The spelling of 12121231100240 in words is "twelve trillion, one hundred twenty-one billion, two hundred thirty-one million, one hundred thousand, two hundred forty".