12245001230000 has 400 divisors, whose sum is σ = 39135971280384. Its totient is φ = 3592112640000.

The previous prime is 12245001229973. The next prime is 12245001230003. The reversal of 12245001230000 is 3210054221.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12245001230003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12622277 + ... + 13557723.

Almost surely, 2^{12245001230000} is an apocalyptic number.

12245001230000 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 12245001230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19567985640192).

12245001230000 is an abundant number, since it is smaller than the sum of its proper divisors (26890970050384).

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

12245001230000 is a wasteful number, since it uses less digits than its factorization.

12245001230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935510 (or 935489 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 12245001230000 its reverse (3210054221), we get a palindrome (12248211284221).

The spelling of 12245001230000 in words is "twelve trillion, two hundred forty-five billion, one million, two hundred thirty thousand".