13122011520 has 384 divisors, whose sum is σ = 48578063040. Its totient is φ = 3255386112.

The previous prime is 13122011509. The next prime is 13122011549. The reversal of 13122011520 is 2511022131.

13122011520 is a `hidden beast` number, since 1 + 312 + 201 + 152 + 0 = 666.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 13122011493 and 13122011502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4900422 + ... + 4903098.

Almost surely, 2^13122011520 is an apocalyptic number.

13122011520 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 13122011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24289031520).

13122011520 is an abundant number, since it is smaller than the sum of its proper divisors (35456051520).

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

13122011520 is a wasteful number, since it uses less digits than its factorization.

13122011520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 13122011520 its reverse (2511022131), we get a palindrome (15633033651).

It can be divided in two parts, 131220 and 11520, that multiplied together give a square (1511654400 = 38880²).

The spelling of 13122011520 in words is "thirteen billion, one hundred twenty-two million, eleven thousand, five hundred twenty".