126109218928 has 320 divisors, whose sum is σ = 331988751360. Its totient is φ = 44928000000.

The previous prime is 126109218923. The next prime is 126109218941. The reversal of 126109218928 is 829812901621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126109218923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96931878 + ... + 96933178.

It is an arithmetic number, because the mean of its divisors is an integer number (1037464848).

Almost surely, 2^126109218928 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 126109218928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165994375680).

126109218928 is an abundant number, since it is smaller than the sum of its proper divisors (205879532432).

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

126109218928 is a wasteful number, since it uses less digits than its factorization.

126109218928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 49.

The spelling of 126109218928 in words is "one hundred twenty-six billion, one hundred nine million, two hundred eighteen thousand, nine hundred twenty-eight".