126218272896 has 512 divisors, whose sum is σ = 412580044800. Its totient is φ = 37818482688.

The previous prime is 126218272883. The next prime is 126218272897. The reversal of 126218272896 is 698272812621.

126218272896 is a `hidden beast` number, since 1 + 2 + 621 + 8 + 2 + 7 + 2 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (126218272897) 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, 118737261 + ... + 118738323.

It is an arithmetic number, because the mean of its divisors is an integer number (805820400).

Almost surely, 2^126218272896 is an apocalyptic number.

126218272896 is a gapful number since it is divisible by the number (16) 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 126218272896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206290022400).

126218272896 is an abundant number, since it is smaller than the sum of its proper divisors (286361771904).

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

126218272896 is a wasteful number, since it uses less digits than its factorization.

126218272896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1175 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 126218272896 in words is "one hundred twenty-six billion, two hundred eighteen million, two hundred seventy-two thousand, eight hundred ninety-six".