1259111249136 has 160 divisors (see below), whose sum is σ = 3892807302720. Its totient is φ = 387350885376.

The previous prime is 1259111249131. The next prime is 1259111249161. The reversal of 1259111249136 is 6319421119521.

1259111249136 is a `hidden beast` number, since 1 + 2 + 591 + 1 + 1 + 2 + 49 + 13 + 6 = 666.

It is a super-2 number, since 2×1259111249136² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1259111249091 and 1259111249100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1259111249131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38829666 + ... + 38862078.

It is an arithmetic number, because the mean of its divisors is an integer number (24330045642).

Almost surely, 2^{1259111249136} is an apocalyptic number.

1259111249136 is a gapful number since it is divisible by the number (16) 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 1259111249136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946403651360).

1259111249136 is an abundant number, since it is smaller than the sum of its proper divisors (2633696053584).

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

1259111249136 is a wasteful number, since it uses less digits than its factorization.

1259111249136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39360 (or 39348 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The spelling of 1259111249136 in words is "one trillion, two hundred fifty-nine billion, one hundred eleven million, two hundred forty-nine thousand, one hundred thirty-six".