13072377120 has 192 divisors, whose sum is σ = 47564205696. Its totient is φ = 2982625280.

The previous prime is 13072377053. The next prime is 13072377121. The reversal of 13072377120 is 2177327031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13072377121) 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 31 ways as a sum of consecutive naturals, for example, 16942 + ... + 162578.

It is an arithmetic number, because the mean of its divisors is an integer number (247730238).

Almost surely, 2^13072377120 is an apocalyptic number.

13072377120 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 13072377120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23782102848).

13072377120 is an abundant number, since it is smaller than the sum of its proper divisors (34491828576).

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

13072377120 is a wasteful number, since it uses less digits than its factorization.

13072377120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145683 (or 145675 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 33.

The spelling of 13072377120 in words is "thirteen billion, seventy-two million, three hundred seventy-seven thousand, one hundred twenty".