126210066720 has 96 divisors (see below), whose sum is σ = 398226326400. Its totient is φ = 33599754240.

The previous prime is 126210066709. The next prime is 126210066737. The reversal of 126210066720 is 27660012621.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68040 + ... + 507000.

It is an arithmetic number, because the mean of its divisors is an integer number (4148190900).

Almost surely, 2^126210066720 is an apocalyptic number.

126210066720 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 126210066720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199113163200).

126210066720 is an abundant number, since it is smaller than the sum of its proper divisors (272016259680).

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

126210066720 is a wasteful number, since it uses less digits than its factorization.

126210066720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439578 (or 439570 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 126210066720 in words is "one hundred twenty-six billion, two hundred ten million, sixty-six thousand, seven hundred twenty".