126693770070272 has 576 divisors, whose sum is σ = 286581800494080. Its totient is φ = 55782752256000.

The previous prime is 126693770070209. The next prime is 126693770070281. The reversal of 126693770070272 is 272070077396621.

It is a super-2 number, since 2×126693770070272² (a number of 29 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 300935320622 + ... + 300935321042.

It is an arithmetic number, because the mean of its divisors is an integer number (497537848080).

Almost surely, 2^{126693770070272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126693770070272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143290900247040).

126693770070272 is an abundant number, since it is smaller than the sum of its proper divisors (159888030423808).

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

126693770070272 is a wasteful number, since it uses less digits than its factorization.

126693770070272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 18670176, while the sum is 59.

The spelling of 126693770070272 in words is "one hundred twenty-six trillion, six hundred ninety-three billion, seven hundred seventy million, seventy thousand, two hundred seventy-two".