1260904434012 has 144 divisors (see below), whose sum is σ = 3253605089280. Its totient is φ = 411620227200.

The previous prime is 1260904433993. The next prime is 1260904434061. The reversal of 1260904434012 is 2104344090621.

1260904434012 is a `hidden beast` number, since 1 + 2 + 609 + 0 + 4 + 4 + 3 + 40 + 1 + 2 = 666.

It is a super-2 number, since 2×1260904434012² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 758209893 + ... + 758211555.

Almost surely, 2^{1260904434012} is an apocalyptic number.

1260904434012 is a gapful number since it is divisible by the number (12) 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 1260904434012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626802544640).

1260904434012 is an abundant number, since it is smaller than the sum of its proper divisors (1992700655268).

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

1260904434012 is a wasteful number, since it uses less digits than its factorization.

1260904434012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1260904434012 in words is "one trillion, two hundred sixty billion, nine hundred four million, four hundred thirty-four thousand, twelve".