12005620000000 has 720 divisors, whose sum is σ = 33754357924560. Its totient is φ = 4259200000000.

The previous prime is 12005619999983. The next prime is 12005620000001. The reversal of 12005620000000 is 2650021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6083444663296 + 5922175336704 = 2466464^2 + 2433552^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005620000001) 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, 292819999980 + ... + 292820000020.

It is an arithmetic number, because the mean of its divisors is an integer number (46881052673).

Almost surely, 2^{12005620000000} is an apocalyptic number.

12005620000000 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 12005620000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16877178962280).

12005620000000 is an abundant number, since it is smaller than the sum of its proper divisors (21748737924560).

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

12005620000000 is an frugal number, since it uses more digits than its factorization.

12005620000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 12005620000000 its reverse (2650021), we get a palindrome (12005622650021).

The spelling of 12005620000000 in words is "twelve trillion, five billion, six hundred twenty million", and thus it is an aban number.