13532240212000 has 192 divisors, whose sum is σ = 33550233496416. Its totient is φ = 5363947929600.

The previous prime is 13532240211979. The next prime is 13532240212019. The reversal of 13532240212000 is 21204223531.

It can be written as a sum of positive squares in 16 ways, for example, as 2917441634704 + 10614798577296 = 1708052^2 + 3258036^2 .

It is a super-3 number, since 3×13532240212000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316174602 + ... + 316217398.

Almost surely, 2^{13532240212000} is an apocalyptic number.

13532240212000 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 13532240212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16775116748208).

13532240212000 is an abundant number, since it is smaller than the sum of its proper divisors (20017993284416).

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

13532240212000 is a wasteful number, since it uses less digits than its factorization.

13532240212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43536 (or 43518 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 13532240212000 its reverse (21204223531), we get a palindrome (13553444435531).

The spelling of 13532240212000 in words is "thirteen trillion, five hundred thirty-two billion, two hundred forty million, two hundred twelve thousand".