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11861124912 = 24327136471399
BaseRepresentation
bin10110000101111101…
…00110011100110000
31010121121210120112200
423002332212130300
5143242421444122
65240545023200
7566633620050
oct130276463460
933547716480
1011861124912
11503732877a
122370324b00
13117045c510
148073cb560
1549648c5ac
hex2c2fa6730

11861124912 has 240 divisors, whose sum is σ = 40947379200. Its totient is φ = 3121141248.

The previous prime is 11861124911. The next prime is 11861124917. The reversal of 11861124912 is 21942116811.

11861124912 is a `hidden beast` number, since 1 + 1 + 8 + 611 + 24 + 9 + 12 = 666.

11861124912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11861124911) 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 47 ways as a sum of consecutive naturals, for example, 8477589 + ... + 8478987.

It is an arithmetic number, because the mean of its divisors is an integer number (170614080).

Almost surely, 211861124912 is an apocalyptic number.

11861124912 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 11861124912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20473689600).

11861124912 is an abundant number, since it is smaller than the sum of its proper divisors (29086254288).

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

11861124912 is a wasteful number, since it uses less digits than its factorization.

11861124912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2071 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The spelling of 11861124912 in words is "eleven billion, eight hundred sixty-one million, one hundred twenty-four thousand, nine hundred twelve".