126341467200 has 1680 divisors, whose sum is σ = 537810577920. Its totient is φ = 28864512000.

The previous prime is 126341467199. The next prime is 126341467249. The reversal of 126341467200 is 2764143621.

126341467200 is a `hidden beast` number, since 1 + 2 + 634 + 14 + 6 + 7 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2141380771 + ... + 2141380829.

It is an arithmetic number, because the mean of its divisors is an integer number (320125344).

Almost surely, 2^126341467200 is an apocalyptic number.

126341467200 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 126341467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268905288960).

126341467200 is an abundant number, since it is smaller than the sum of its proper divisors (411469110720).

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

126341467200 is a wasteful number, since it uses less digits than its factorization.

126341467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 126341467200 in words is "one hundred twenty-six billion, three hundred forty-one million, four hundred sixty-seven thousand, two hundred".