13212000 has 144 divisors (see below), whose sum is σ = 47017152. Its totient is φ = 3513600.

The previous prime is 13211993. The next prime is 13212007. The reversal of 13212000 is 21231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13211993) and next prime (13212007).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35817 + ... + 36183.

It is an arithmetic number, because the mean of its divisors is an integer number (326508).

Almost surely, 2^13212000 is an apocalyptic number.

13212000 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 13212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23508576).

13212000 is an abundant number, since it is smaller than the sum of its proper divisors (33805152).

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

13212000 is a wasteful number, since it uses less digits than its factorization.

13212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13212000 is about 3634.8314954066. The cubic root of 13212000 is about 236.4047445087.

Adding to 13212000 its reverse (21231), we get a palindrome (13233231).

It can be divided in two parts, 1321 and 2000, that added together give a triangular number (3321 = T₈₁).

The spelling of 13212000 in words is "thirteen million, two hundred twelve thousand".