126904320000 has 1050 divisors, whose sum is σ = 503477865198. Its totient is φ = 31850496000.

The previous prime is 126904319989. The next prime is 126904320001. The reversal of 126904320000 is 23409621.

It can be written as a sum of positive squares in 5 ways, for example, as 32296402944 + 94607917056 = 179712^2 + 307584^2 .

It is a super-2 number, since 2×126904320000² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (126904320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 7464959992 + ... + 7464960008.

Almost surely, 2^126904320000 is an apocalyptic number.

126904320000 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 126904320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251738932599).

126904320000 is an abundant number, since it is smaller than the sum of its proper divisors (376573545198).

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

126904320000 is an frugal number, since it uses more digits than its factorization.

126904320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 126904320000 its reverse (23409621), we get a palindrome (126927729621).

The spelling of 126904320000 in words is "one hundred twenty-six billion, nine hundred four million, three hundred twenty thousand".