1047126600000 has 1008 divisors, whose sum is σ = 4102111291824. Its totient is φ = 253808640000.

The previous prime is 1047126599977. The next prime is 1047126600067. The reversal of 1047126600000 is 66217401.

1047126600000 is a `hidden beast` number, since 1 + 0 + 47 + 12 + 6 + 600 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 424832811264 + 622293788736 = 651792^2 + 788856^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1708199694 + ... + 1708200306.

It is an arithmetic number, because the mean of its divisors is an integer number (4069554853).

Almost surely, 2^{1047126600000} is an apocalyptic number.

1047126600000 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 1047126600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051055645912).

1047126600000 is an abundant number, since it is smaller than the sum of its proper divisors (3054984691824).

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

1047126600000 is an equidigital number, since it uses as much as digits as its factorization.

1047126600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 1047126600000 in words is "one trillion, forty-seven billion, one hundred twenty-six million, six hundred thousand".