126067011840 has 1296 divisors, whose sum is σ = 562705678080. Its totient is φ = 25763512320.

The previous prime is 126067011817. The next prime is 126067011841. The reversal of 126067011840 is 48110760621.

It is a happy number.

126067011840 is a `hidden beast` number, since 1 + 2 + 606 + 7 + 0 + 1 + 1 + 8 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 126067011795 and 126067011804.

It is not an unprimeable number, because it can be changed into a prime (126067011841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 490532992 + ... + 490533248.

It is an arithmetic number, because the mean of its divisors is an integer number (434186480).

Almost surely, 2^126067011840 is an apocalyptic number.

126067011840 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 126067011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281352839040).

126067011840 is an abundant number, since it is smaller than the sum of its proper divisors (436638666240).

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

126067011840 is a wasteful number, since it uses less digits than its factorization.

126067011840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 126067011840 in words is "one hundred twenty-six billion, sixty-seven million, eleven thousand, eight hundred forty".