126912211243024 has 45 divisors (see below), whose sum is σ = 246197929290397. Its totient is φ = 63377359552832.

The previous prime is 126912211243021. The next prime is 126912211243033. The reversal of 126912211243024 is 420342112219621.

The square root of 126912211243024 is 11265532.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 100938592112400 + 25973619130624 = 10046820^2 + 5096432^2 .

It is a super-2 number, since 2×126912211243024² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126912211243021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56733218034 + ... + 56733220270.

Almost surely, 2^{126912211243024} is an apocalyptic number.

126912211243024 is the 11265532-nd square number.

It is an amenable number.

126912211243024 is a deficient number, since it is larger than the sum of its proper divisors (119285718047373).

126912211243024 is an frugal number, since it uses more digits than its factorization.

126912211243024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7000 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 126912211243024 in words is "one hundred twenty-six trillion, nine hundred twelve billion, two hundred eleven million, two hundred forty-three thousand, twenty-four".