12250780200 has 240 divisors, whose sum is σ = 43152104160. Its totient is φ = 3220560000.

The previous prime is 12250780189. The next prime is 12250780231. The reversal of 12250780200 is 208705221.

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 1144875 + ... + 1155525.

It is an arithmetic number, because the mean of its divisors is an integer number (179800434).

Almost surely, 2^12250780200 is an apocalyptic number.

12250780200 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 12250780200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21576052080).

12250780200 is an abundant number, since it is smaller than the sum of its proper divisors (30901323960).

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

12250780200 is a wasteful number, since it uses less digits than its factorization.

12250780200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10750 (or 10732 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 12250780200 in words is "twelve billion, two hundred fifty million, seven hundred eighty thousand, two hundred".