1061117201256 has 128 divisors (see below), whose sum is σ = 3119166919680. Its totient is φ = 294559981056.

The previous prime is 1061117201153. The next prime is 1061117201311. The reversal of 1061117201256 is 6521027111601.

It is a super-2 number, since 2×1061117201256² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175995 + ... + 1467381.

It is an arithmetic number, because the mean of its divisors is an integer number (24368491560).

Almost surely, 2^{1061117201256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1061117201256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559583459840).

1061117201256 is an abundant number, since it is smaller than the sum of its proper divisors (2058049718424).

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

1061117201256 is a wasteful number, since it uses less digits than its factorization.

1061117201256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291543 (or 1291539 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The spelling of 1061117201256 in words is "one trillion, sixty-one billion, one hundred seventeen million, two hundred one thousand, two hundred fifty-six".