12122434002540 has 96 divisors (see below), whose sum is σ = 34865091624384. Its totient is φ = 3144837795840.

The previous prime is 12122434002521. The next prime is 12122434002559. The reversal of 12122434002540 is 4520043422121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12122434002521) and next prime (12122434002559).

It is a super-2 number, since 2×12122434002540² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12122434002498 and 12122434002507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15552520 + ... + 16313360.

It is an arithmetic number, because the mean of its divisors is an integer number (363178037754).

Almost surely, 2^{12122434002540} is an apocalyptic number.

12122434002540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122434002540 is an abundant number, since it is smaller than the sum of its proper divisors (22742657621844).

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

12122434002540 is a wasteful number, since it uses less digits than its factorization.

12122434002540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768067 (or 768065 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 12122434002540 its reverse (4520043422121), we get a palindrome (16642477424661).

The spelling of 12122434002540 in words is "twelve trillion, one hundred twenty-two billion, four hundred thirty-four million, two thousand, five hundred forty".