12097025740800 has 6240 divisors, whose sum is σ = 63427044409344. Its totient is φ = 2197684224000.

The previous prime is 12097025740741. The next prime is 12097025740801. The reversal of 12097025740800 is 804752079021.

It is a happy number.

12097025740800 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 70 + 2 + 574 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12097025740801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 257383526377 + ... + 257383526423.

Almost surely, 2^{12097025740800} is an apocalyptic number.

12097025740800 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 12097025740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31713522204672).

12097025740800 is an abundant number, since it is smaller than the sum of its proper divisors (51330018668544).

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

12097025740800 is a wasteful number, since it uses less digits than its factorization.

12097025740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 12097025740800 in words is "twelve trillion, ninety-seven billion, twenty-five million, seven hundred forty thousand, eight hundred".