126721193280 has 896 divisors, whose sum is σ = 487534671360. Its totient is φ = 27525120000.

The previous prime is 126721193227. The next prime is 126721193293. The reversal of 126721193280 is 82391127621.

It is a super-3 number, since 3×126721193280³ (a number of 34 digits) contains 333 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 127 ways as a sum of consecutive naturals, for example, 525813960 + ... + 525814200.

Almost surely, 2^126721193280 is an apocalyptic number.

126721193280 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 126721193280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243767335680).

126721193280 is an abundant number, since it is smaller than the sum of its proper divisors (360813478080).

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

126721193280 is a wasteful number, since it uses less digits than its factorization.

126721193280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 126721193280 in words is "one hundred twenty-six billion, seven hundred twenty-one million, one hundred ninety-three thousand, two hundred eighty".