12597120000 has 550 divisors, whose sum is σ = 47200225468. Its totient is φ = 3359232000.

The previous prime is 12597119971. The next prime is 12597120043. The reversal of 12597120000 is 2179521.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 2519423998 + ... + 2519424002.

Almost surely, 2^12597120000 is an apocalyptic number.

12597120000 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 12597120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23600112734).

12597120000 is an abundant number, since it is smaller than the sum of its proper divisors (34603105468).

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

12597120000 is an frugal number, since it uses more digits than its factorization.

12597120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Multiplying 12597120000 by its sum of digits (27), we get a square (340122240000 = 583200²).

12597120000 divided by its sum of digits (27) gives a square (466560000 = 21600²).

Adding to 12597120000 its reverse (2179521), we get a palindrome (12599299521).

The spelling of 12597120000 in words is "twelve billion, five hundred ninety-seven million, one hundred twenty thousand".