13701123072 has 792 divisors, whose sum is σ = 53272241568. Its totient is φ = 3291217920.

The previous prime is 13701123071. The next prime is 13701123083. The reversal of 13701123072 is 27032110731.

It is not an unprimeable number, because it can be changed into a prime (13701123071) 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 71 ways as a sum of consecutive naturals, for example, 441971697 + ... + 441971727.

Almost surely, 2^13701123072 is an apocalyptic number.

13701123072 is a gapful number since it is divisible by the number (12) 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 13701123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26636120784).

13701123072 is an abundant number, since it is smaller than the sum of its proper divisors (39571118496).

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

13701123072 is a wasteful number, since it uses less digits than its factorization.

13701123072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The spelling of 13701123072 in words is "thirteen billion, seven hundred one million, one hundred twenty-three thousand, seventy-two".