12553020000 has 180 divisors, whose sum is σ = 44608423860. Its totient is φ = 3347424000.

The previous prime is 12553019987. The next prime is 12553020013. The reversal of 12553020000 is 2035521.

It is a happy number.

12553020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12553019987) and next prime (12553020013).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×12553020000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 145131 + ... + 214869.

It is an arithmetic number, because the mean of its divisors is an integer number (247824577).

Almost surely, 2^12553020000 is an apocalyptic number.

12553020000 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 12553020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22304211930).

12553020000 is an abundant number, since it is smaller than the sum of its proper divisors (32055403860).

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

12553020000 is an equidigital number, since it uses as much as digits as its factorization.

12553020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69775 (or 69749 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

Adding to 12553020000 its reverse (2035521), we get a palindrome (12555055521).

It can be divided in two parts, 125530 and 20000, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 12553020000 in words is "twelve billion, five hundred fifty-three million, twenty thousand".