13522124000 has 384 divisors, whose sum is σ = 42426768384. Its totient is φ = 4112640000.

The previous prime is 13522123991. The next prime is 13522124027. The reversal of 13522124000 is 42122531.

13522124000 = 375² + 376² + ... + 3437².

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13243490 + ... + 13244510.

It is an arithmetic number, because the mean of its divisors is an integer number (110486376).

Almost surely, 2^13522124000 is an apocalyptic number.

13522124000 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 13522124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21213384192).

13522124000 is an abundant number, since it is smaller than the sum of its proper divisors (28904644384).

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

13522124000 is a wasteful number, since it uses less digits than its factorization.

13522124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 13522124000 its reverse (42122531), we get a palindrome (13564246531).

The spelling of 13522124000 in words is "thirteen billion, five hundred twenty-two million, one hundred twenty-four thousand".