126236029660160 has 352 divisors, whose sum is σ = 348066613478400. Its totient is φ = 43032584060928.

The previous prime is 126236029660141. The next prime is 126236029660253. The reversal of 126236029660160 is 61066920632621.

It is a junction number, because it is equal to n+sod(n) for n = 126236029660099 and 126236029660108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11390053979 + ... + 11390065061.

Almost surely, 2^{126236029660160} is an apocalyptic number.

126236029660160 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 126236029660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174033306739200).

126236029660160 is an abundant number, since it is smaller than the sum of its proper divisors (221830583818240).

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

126236029660160 is a wasteful number, since it uses less digits than its factorization.

126236029660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12911 (or 12893 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 50.

The spelling of 126236029660160 in words is "one hundred twenty-six trillion, two hundred thirty-six billion, twenty-nine million, six hundred sixty thousand, one hundred sixty".