126304126806 has 128 divisors (see below), whose sum is σ = 314442777600. Its totient is φ = 33228840960.

The previous prime is 126304126783. The next prime is 126304126811. The reversal of 126304126806 is 608621403621.

It is a super-2 number, since 2×126304126806² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38053215 + ... + 38056533.

It is an arithmetic number, because the mean of its divisors is an integer number (2456584200).

Almost surely, 2^126304126806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126304126806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157221388800).

126304126806 is an abundant number, since it is smaller than the sum of its proper divisors (188138650794).

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

126304126806 is a wasteful number, since it uses less digits than its factorization.

126304126806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5974.

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 126304126806 in words is "one hundred twenty-six billion, three hundred four million, one hundred twenty-six thousand, eight hundred six".