126721962432000 has 1600 divisors, whose sum is σ = 509108189990400. Its totient is φ = 31146201907200.

The previous prime is 126721962431963. The next prime is 126721962432031. The reversal of 126721962432000 is 234269127621.

126721962432000 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 2 + 19 + 624 + 3 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 72042047121 + ... + 72042048879.

It is an arithmetic number, because the mean of its divisors is an integer number (318192618744).

Almost surely, 2^{126721962432000} is an apocalyptic number.

126721962432000 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 126721962432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254554094995200).

126721962432000 is an abundant number, since it is smaller than the sum of its proper divisors (382386227558400).

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

126721962432000 is a wasteful number, since it uses less digits than its factorization.

126721962432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 126721962432000 in words is "one hundred twenty-six trillion, seven hundred twenty-one billion, nine hundred sixty-two million, four hundred thirty-two thousand".