126401236224 has 72 divisors (see below), whose sum is σ = 336706255872. Its totient is φ = 42096844800.

The previous prime is 126401236163. The next prime is 126401236237. The reversal of 126401236224 is 422632104621.

It is a super-6 number, since 6×126401236224⁶ (a number of 68 digits) contains 666666 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 812472 + ... + 955464.

It is an arithmetic number, because the mean of its divisors is an integer number (4676475776).

Almost surely, 2^126401236224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126401236224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168353127936).

126401236224 is an abundant number, since it is smaller than the sum of its proper divisors (210305019648).

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

126401236224 is a wasteful number, since it uses less digits than its factorization.

126401236224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144163 (or 144149 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 126401236224 in words is "one hundred twenty-six billion, four hundred one million, two hundred thirty-six thousand, two hundred twenty-four".