12302541200 has 60 divisors (see below), whose sum is σ = 29889041220. Its totient is φ = 4865710080.

The previous prime is 12302541193. The next prime is 12302541217. The reversal of 12302541200 is 214520321.

It can be written as a sum of positive squares in 6 ways, for example, as 3900252304 + 8402288896 = 62452^2 + 91664^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137189 + ... + 208388.

It is an arithmetic number, because the mean of its divisors is an integer number (498150687).

Almost surely, 2^12302541200 is an apocalyptic number.

12302541200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12302541200 is an abundant number, since it is smaller than the sum of its proper divisors (17586500020).

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

12302541200 is a wasteful number, since it uses less digits than its factorization.

12302541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345684 (or 345673 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 12302541200 in words is "twelve billion, three hundred two million, five hundred forty-one thousand, two hundred".