126884040192 has 720 divisors, whose sum is σ = 476038875312. Its totient is φ = 33443020800.

The previous prime is 126884040191. The next prime is 126884040203. The reversal of 126884040192 is 291040488621.

126884040192 is a `hidden beast` number, since 126 + 88 + 40 + 401 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126884040191) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79252192 + ... + 79253792.

Almost surely, 2^126884040192 is an apocalyptic number.

126884040192 is a gapful number since it is divisible by the number (12) 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 126884040192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238019437656).

126884040192 is an abundant number, since it is smaller than the sum of its proper divisors (349154835120).

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

126884040192 is an equidigital number, since it uses as much as digits as its factorization.

126884040192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 126884040192 in words is "one hundred twenty-six billion, eight hundred eighty-four million, forty thousand, one hundred ninety-two".