13212061632 has 1008 divisors, whose sum is σ = 53121519360. Its totient is φ = 3175096320.

The previous prime is 13212061631. The next prime is 13212061651. The reversal of 13212061632 is 23616021231.

13212061632 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 20 + 6 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13212061596 and 13212061605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212061631) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 223933219 + ... + 223933277.

It is an arithmetic number, because the mean of its divisors is an integer number (52699920).

Almost surely, 2^13212061632 is an apocalyptic number.

13212061632 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 13212061632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26560759680).

13212061632 is an abundant number, since it is smaller than the sum of its proper divisors (39909457728).

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

13212061632 is a wasteful number, since it uses less digits than its factorization.

13212061632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13212061632 its reverse (23616021231), we get a palindrome (36828082863).

The spelling of 13212061632 in words is "thirteen billion, two hundred twelve million, sixty-one thousand, six hundred thirty-two".