126721140336 has 320 divisors, whose sum is σ = 429383946240. Its totient is φ = 35033057280.

The previous prime is 126721140313. The next prime is 126721140349. The reversal of 126721140336 is 633041127621.

126721140336 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 211 + 403 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126721140336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11694441 + ... + 11705271.

It is an arithmetic number, because the mean of its divisors is an integer number (1341824832).

Almost surely, 2^126721140336 is an apocalyptic number.

126721140336 is a gapful number since it is divisible by the number (16) 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 126721140336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214691973120).

126721140336 is an abundant number, since it is smaller than the sum of its proper divisors (302662805904).

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

126721140336 is a wasteful number, since it uses less digits than its factorization.

126721140336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10981 (or 10969 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 126721140336 its reverse (633041127621), we get a palindrome (759762267957).

The spelling of 126721140336 in words is "one hundred twenty-six billion, seven hundred twenty-one million, one hundred forty thousand, three hundred thirty-six".