13120611840 has 240 divisors, whose sum is σ = 51932488608. Its totient is φ = 2998960128.

The previous prime is 13120611827. The next prime is 13120611841. The reversal of 13120611840 is 4811602131.

It is a happy number.

13120611840 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 0 + 611 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120611841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120604 + ... + 201956.

Almost surely, 2^13120611840 is an apocalyptic number.

13120611840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13120611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25966244304).

13120611840 is an abundant number, since it is smaller than the sum of its proper divisors (38811876768).

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

13120611840 is an equidigital number, since it uses as much as digits as its factorization.

13120611840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81389 (or 81370 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 13120611840 in words is "thirteen billion, one hundred twenty million, six hundred eleven thousand, eight hundred forty".