126130530240 has 1568 divisors, whose sum is σ = 559685952000. Its totient is φ = 26605117440.

The previous prime is 126130530233. The next prime is 126130530247. The reversal of 126130530240 is 42035031621.

126130530240 is a `hidden beast` number, since 1 + 2 + 61 + 30 + 530 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (126130530233) and next prime (126130530247).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126130530247) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 633821661 + ... + 633821859.

Almost surely, 2^126130530240 is an apocalyptic number.

126130530240 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 126130530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279842976000).

126130530240 is an abundant number, since it is smaller than the sum of its proper divisors (433555421760).

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

126130530240 is a wasteful number, since it uses less digits than its factorization.

126130530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 126130530240 its reverse (42035031621), we get a palindrome (168165561861).

The spelling of 126130530240 in words is "one hundred twenty-six billion, one hundred thirty million, five hundred thirty thousand, two hundred forty".