1125656042130 has 192 divisors, whose sum is σ = 3039312347136. Its totient is φ = 288746640000.

The previous prime is 1125656042123. The next prime is 1125656042143. The reversal of 1125656042130 is 312406565211.

1125656042130 is a `hidden beast` number, since 1 + 1 + 2 + 56 + 560 + 42 + 1 + 3 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 576962655 + ... + 576964605.

It is an arithmetic number, because the mean of its divisors is an integer number (15829751808).

Almost surely, 2^{1125656042130} is an apocalyptic number.

1125656042130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125656042130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519656173568).

1125656042130 is an abundant number, since it is smaller than the sum of its proper divisors (1913656305006).

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

1125656042130 is a wasteful number, since it uses less digits than its factorization.

1125656042130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1125656042130 in words is "one trillion, one hundred twenty-five billion, six hundred fifty-six million, forty-two thousand, one hundred thirty".