126612610072 has 64 divisors (see below), whose sum is σ = 262042260480. Its totient is φ = 56982344832.

The previous prime is 126612610067. The next prime is 126612610079. The reversal of 126612610072 is 270016216621.

126612610072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126612610079) 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 15 ways as a sum of consecutive naturals, for example, 2691183 + ... + 2737825.

It is an arithmetic number, because the mean of its divisors is an integer number (4094410320).

Almost surely, 2^126612610072 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 126612610072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131021130240).

126612610072 is an abundant number, since it is smaller than the sum of its proper divisors (135429650408).

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

126612610072 is a wasteful number, since it uses less digits than its factorization.

126612610072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47312 (or 47308 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

Adding to 126612610072 its reverse (270016216621), we get a palindrome (396628826693).

The spelling of 126612610072 in words is "one hundred twenty-six billion, six hundred twelve million, six hundred ten thousand, seventy-two".