12070224460800 has 2376 divisors, whose sum is σ = 50358094375680. Its totient is φ = 2843253964800.

The previous prime is 12070224460783. The next prime is 12070224460829. The reversal of 12070224460800 is 806442207021.

12070224460800 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 0 + 2 + 2 + 44 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2376).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 86836147131 + ... + 86836147269.

Almost surely, 2^{12070224460800} is an apocalyptic number.

12070224460800 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 12070224460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25179047187840).

12070224460800 is an abundant number, since it is smaller than the sum of its proper divisors (38287869914880).

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

12070224460800 is an equidigital number, since it uses as much as digits as its factorization.

12070224460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 12070224460800 its reverse (806442207021), we get a palindrome (12876666667821).

The spelling of 12070224460800 in words is "twelve trillion, seventy billion, two hundred twenty-four million, four hundred sixty thousand, eight hundred".