13124242233120 has 96 divisors (see below), whose sum is σ = 41346468491328. Its totient is φ = 3499365721088.

The previous prime is 13124242233073. The next prime is 13124242233133. The reversal of 13124242233120 is 2133224242131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13124242233120² (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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211907 + ... + 5580413.

It is an arithmetic number, because the mean of its divisors is an integer number (430692380118).

Almost surely, 2^{13124242233120} is an apocalyptic number.

13124242233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13124242233120 is an abundant number, since it is smaller than the sum of its proper divisors (28222226258208).

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

13124242233120 is a wasteful number, since it uses less digits than its factorization.

13124242233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376642 (or 3376634 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13124242233120 its reverse (2133224242131), we get a palindrome (15257466475251).

The spelling of 13124242233120 in words is "thirteen trillion, one hundred twenty-four billion, two hundred forty-two million, two hundred thirty-three thousand, one hundred twenty".