13212612000 has 384 divisors, whose sum is σ = 54967610880. Its totient is φ = 3019852800.

The previous prime is 13212611983. The next prime is 13212612001. The reversal of 13212612000 is 21621231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13212612001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 747262 + ... + 764738.

It is an arithmetic number, because the mean of its divisors is an integer number (143144820).

Almost surely, 2^13212612000 is an apocalyptic number.

13212612000 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 13212612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27483805440).

13212612000 is an abundant number, since it is smaller than the sum of its proper divisors (41754998880).

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

13212612000 is a wasteful number, since it uses less digits than its factorization.

13212612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17518 (or 17494 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 13212612000 in words is "thirteen billion, two hundred twelve million, six hundred twelve thousand".