126471241260 has 1728 divisors, whose sum is σ = 552506572800. Its totient is φ = 23247544320.

The previous prime is 126471241241. The next prime is 126471241297. The reversal of 126471241260 is 62142174621.

126471241260 is a `hidden beast` number, since 1 + 2 + 647 + 1 + 2 + 4 + 1 + 2 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4079717445 + ... + 4079717475.

It is an arithmetic number, because the mean of its divisors is an integer number (319737600).

Almost surely, 2^126471241260 is an apocalyptic number.

126471241260 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 126471241260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276253286400).

126471241260 is an abundant number, since it is smaller than the sum of its proper divisors (426035331540).

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

126471241260 is a wasteful number, since it uses less digits than its factorization.

126471241260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 126471241260 in words is "one hundred twenty-six billion, four hundred seventy-one million, two hundred forty-one thousand, two hundred sixty".