126287303200 has 72 divisors (see below), whose sum is σ = 309172938228. Its totient is φ = 50371706880.

The previous prime is 126287303143. The next prime is 126287303203. The reversal of 126287303200 is 2303782621.

It can be written as a sum of positive squares in 6 ways, for example, as 79598465424 + 46688837776 = 282132^2 + 216076^2 .

It is not an unprimeable number, because it can be changed into a prime (126287303203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58804 + ... + 505996.

Almost surely, 2^126287303200 is an apocalyptic number.

126287303200 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 126287303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154586469114).

126287303200 is an abundant number, since it is smaller than the sum of its proper divisors (182885635028).

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

126287303200 is a wasteful number, since it uses less digits than its factorization.

126287303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447566 (or 447553 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 126287303200 in words is "one hundred twenty-six billion, two hundred eighty-seven million, three hundred three thousand, two hundred".