12213251152000 has 128 divisors (see below), whose sum is σ = 30862988236080. Its totient is φ = 4805213184000.

The previous prime is 12213251151979. The next prime is 12213251152007. The reversal of 12213251152000 is 25115231221.

It is a happy number.

12213251152000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 311247946816 + 11902003205184 = 557896^2 + 3449928^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (12213251152007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5280789 + ... + 7232788.

Almost surely, 2^{12213251152000} is an apocalyptic number.

12213251152000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12213251152000 is an abundant number, since it is smaller than the sum of its proper divisors (18649737084080).

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

12213251152000 is an equidigital number, since it uses as much as digits as its factorization.

12213251152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12513667 (or 12513645 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 12213251152000 its reverse (25115231221), we get a palindrome (12238366383221).

The spelling of 12213251152000 in words is "twelve trillion, two hundred thirteen billion, two hundred fifty-one million, one hundred fifty-two thousand".