126599412240 has 320 divisors, whose sum is σ = 524590233600. Its totient is φ = 27413945856.

The previous prime is 126599412229. The next prime is 126599412241. The reversal of 126599412240 is 42214995621.

126599412240 is a `hidden beast` number, since 1 + 2 + 6 + 599 + 4 + 12 + 2 + 40 = 666.

It is a super-2 number, since 2×126599412240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (126599412241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66939 + ... + 507621.

It is an arithmetic number, because the mean of its divisors is an integer number (1639344480).

Almost surely, 2^126599412240 is an apocalyptic number.

126599412240 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 126599412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262295116800).

126599412240 is an abundant number, since it is smaller than the sum of its proper divisors (397990821360).

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

126599412240 is a wasteful number, since it uses less digits than its factorization.

126599412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440731 (or 440719 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 126599412240 in words is "one hundred twenty-six billion, five hundred ninety-nine million, four hundred twelve thousand, two hundred forty".