11955578242812 has 96 divisors (see below), whose sum is σ = 29594036102400. Its totient is φ = 3745954368000.

The previous prime is 11955578242763. The next prime is 11955578242843. The reversal of 11955578242812 is 21824287555911.

It is a super-2 number, since 2×11955578242812² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182191864 + ... + 182257472.

It is an arithmetic number, because the mean of its divisors is an integer number (308271209400).

Almost surely, 2^{11955578242812} is an apocalyptic number.

11955578242812 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 11955578242812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14797018051200).

11955578242812 is an abundant number, since it is smaller than the sum of its proper divisors (17638457859588).

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

11955578242812 is a wasteful number, since it uses less digits than its factorization.

11955578242812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71867 (or 71865 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 60.

The spelling of 11955578242812 in words is "eleven trillion, nine hundred fifty-five billion, five hundred seventy-eight million, two hundred forty-two thousand, eight hundred twelve".