126502221312 has 640 divisors, whose sum is σ = 428147596800. Its totient is φ = 36628070400.

The previous prime is 126502221299. The next prime is 126502221319. The reversal of 126502221312 is 213122205621.

126502221312 is a `hidden beast` number, since 1 + 2 + 6 + 502 + 22 + 131 + 2 = 666.

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 (126502221319) 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 63 ways as a sum of consecutive naturals, for example, 183070887 + ... + 183071577.

It is an arithmetic number, because the mean of its divisors is an integer number (668980620).

Almost surely, 2^126502221312 is an apocalyptic number.

126502221312 is a gapful number since it is divisible by the number (12) 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 126502221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214073798400).

126502221312 is an abundant number, since it is smaller than the sum of its proper divisors (301645375488).

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

126502221312 is a wasteful number, since it uses less digits than its factorization.

126502221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 126502221312 its reverse (213122205621), we get a palindrome (339624426933).

The spelling of 126502221312 in words is "one hundred twenty-six billion, five hundred two million, two hundred twenty-one thousand, three hundred twelve".