126141523200 has 1944 divisors, whose sum is σ = 608507303040. Its totient is φ = 24566169600.

The previous prime is 126141523187. The next prime is 126141523201. The reversal of 126141523200 is 2325141621.

126141523200 is a `hidden beast` number, since 1 + 2 + 614 + 1 + 5 + 23 + 20 + 0 = 666.

It is a super-2 number, since 2×126141523200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126141523201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 527788681 + ... + 527788919.

It is an arithmetic number, because the mean of its divisors is an integer number (313018160).

Almost surely, 2^126141523200 is an apocalyptic number.

126141523200 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 126141523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304253651520).

126141523200 is an abundant number, since it is smaller than the sum of its proper divisors (482365779840).

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

126141523200 is a wasteful number, since it uses less digits than its factorization.

126141523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 126141523200 its reverse (2325141621), we get a palindrome (128466664821).

The spelling of 126141523200 in words is "one hundred twenty-six billion, one hundred forty-one million, five hundred twenty-three thousand, two hundred".