1235125404441 has 12 divisors (see below), whose sum is σ = 1785678762660. Its totient is φ = 822674443680.

The previous prime is 1235125404421. The next prime is 1235125404509. The reversal of 1235125404441 is 1444045215321.

1235125404441 is a `hidden beast` number, since 1 + 2 + 35 + 1 + 2 + 540 + 44 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103295388816 + 1131830015625 = 321396^2 + 1063875^2 .

It is not a de Polignac number, because 1235125404441 - 2¹⁰ = 1235125403417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1235125404396 and 1235125404405.

It is not an unprimeable number, because it can be changed into a prime (1235125404421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61863850 + ... + 61883811.

It is an arithmetic number, because the mean of its divisors is an integer number (148806563555).

Almost surely, 2^{1235125404441} is an apocalyptic number.

It is an amenable number.

1235125404441 is a deficient number, since it is larger than the sum of its proper divisors (550553358219).

1235125404441 is a wasteful number, since it uses less digits than its factorization.

1235125404441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123748776 (or 123748773 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 1235125404441 in words is "one trillion, two hundred thirty-five billion, one hundred twenty-five million, four hundred four thousand, four hundred forty-one".