126578204502912 has 320 divisors, whose sum is σ = 384766425426240. Its totient is φ = 41288903331840.

The previous prime is 126578204502901. The next prime is 126578204502929. The reversal of 126578204502912 is 219205402875621.

126578204502912 is a `hidden beast` number, since 1 + 2 + 6 + 57 + 82 + 0 + 4 + 502 + 9 + 1 + 2 = 666.

It is a super-3 number, since 3×126578204502912³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 4259439478 + ... + 4259469194.

It is an arithmetic number, because the mean of its divisors is an integer number (1202395079457).

Almost surely, 2^{126578204502912} is an apocalyptic number.

126578204502912 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 126578204502912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192383212713120).

126578204502912 is an abundant number, since it is smaller than the sum of its proper divisors (258188220923328).

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

126578204502912 is an equidigital number, since it uses as much as digits as its factorization.

126578204502912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38531 (or 38510 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 126578204502912 in words is "one hundred twenty-six trillion, five hundred seventy-eight billion, two hundred four million, five hundred two thousand, nine hundred twelve".