1261125771724 has 96 divisors (see below), whose sum is σ = 2783281084416. Its totient is φ = 486605560320.

The previous prime is 1261125771721. The next prime is 1261125771743. The reversal of 1261125771724 is 4271775211621.

It is not an unprimeable number, because it can be changed into a prime (1261125771721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68148657 + ... + 68167159.

It is an arithmetic number, because the mean of its divisors is an integer number (28992511296).

Almost surely, 2^{1261125771724} is an apocalyptic number.

1261125771724 is a gapful number since it is divisible by the number (14) 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 1261125771724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391640542208).

1261125771724 is an abundant number, since it is smaller than the sum of its proper divisors (1522155312692).

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

1261125771724 is a wasteful number, since it uses less digits than its factorization.

1261125771724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23135 (or 23133 counting only the distinct ones).

The product of its digits is 329280, while the sum is 46.

The spelling of 1261125771724 in words is "one trillion, two hundred sixty-one billion, one hundred twenty-five million, seven hundred seventy-one thousand, seven hundred twenty-four".