126227587200 has 864 divisors, whose sum is σ = 495621871920. Its totient is φ = 28202803200.

The previous prime is 126227587193. The next prime is 126227587223. The reversal of 126227587200 is 2785722621.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 196310079 + ... + 196310721.

Almost surely, 2^126227587200 is an apocalyptic number.

126227587200 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 126227587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247810935960).

126227587200 is an abundant number, since it is smaller than the sum of its proper divisors (369394284720).

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

126227587200 is a wasteful number, since it uses less digits than its factorization.

126227587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 126227587200 in words is "one hundred twenty-six billion, two hundred twenty-seven million, five hundred eighty-seven thousand, two hundred".