126804787200000 has 4104 divisors, whose sum is σ = 594847448670384. Its totient is φ = 26754416640000.

The previous prime is 126804787199989. The next prime is 126804787200011. The reversal of 126804787200000 is 2787408621.

It is an interprime number because it is at equal distance from previous prime (126804787199989) and next prime (126804787200011).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9754214399994 + ... + 9754214400006.

It is an arithmetic number, because the mean of its divisors is an integer number (144943335446).

Almost surely, 2^{126804787200000} is an apocalyptic number.

126804787200000 is a gapful number since it is divisible by the number (10) 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 126804787200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297423724335192).

126804787200000 is an abundant number, since it is smaller than the sum of its proper divisors (468042661470384).

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

126804787200000 is an frugal number, since it uses more digits than its factorization.

126804787200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 126804787200000 in words is "one hundred twenty-six trillion, eight hundred four billion, seven hundred eighty-seven million, two hundred thousand".