12207753000 has 320 divisors, whose sum is σ = 44152851600. Its totient is φ = 3142540800.

The previous prime is 12207752983. The next prime is 12207753007. The reversal of 12207753000 is 35770221.

12207753000 is a `hidden beast` number, since 122 + 0 + 7 + 7 + 530 + 0 + 0 = 666.

12207753000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 352463076 + 11855289924 = 18774^2 + 108882^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12207753007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2346402 + ... + 2351598.

Almost surely, 2^12207753000 is an apocalyptic number.

12207753000 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 12207753000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22076425800).

12207753000 is an abundant number, since it is smaller than the sum of its proper divisors (31945098600).

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

12207753000 is a wasteful number, since it uses less digits than its factorization.

12207753000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5236 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The spelling of 12207753000 in words is "twelve billion, two hundred seven million, seven hundred fifty-three thousand".