13234677120 has 384 divisors, whose sum is σ = 53095798080. Its totient is φ = 2974924800.

The previous prime is 13234677023. The next prime is 13234677121. The reversal of 13234677120 is 2177643231.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13234677121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2456830 + ... + 2462210.

Almost surely, 2^13234677120 is an apocalyptic number.

13234677120 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 13234677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26547899040).

13234677120 is an abundant number, since it is smaller than the sum of its proper divisors (39861120960).

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

13234677120 is a wasteful number, since it uses less digits than its factorization.

13234677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5474 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 13234677120 in words is "thirteen billion, two hundred thirty-four million, six hundred seventy-seven thousand, one hundred twenty".