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12119917940 = 2251346615069
BaseRepresentation
bin10110100100110011…
…10100010101110100
31011021122202121211122
423102121310111310
5144310144333230
65322351523112
7606225413504
oct132231642564
934248677748
1012119917940
11515a417809
122422b29498
1311b1c602a0
1482d915a04
154ae05bbe5
hex2d2674574

12119917940 has 24 divisors (see below), whose sum is σ = 27409661160. Its totient is φ = 4475046528.

The previous prime is 12119917939. The next prime is 12119917991. The reversal of 12119917940 is 4971991121.

12119917940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 702568036 + 11417349904 = 26506^2 + 106852^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12119917891 and 12119917900.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23307275 + ... + 23307794.

It is an arithmetic number, because the mean of its divisors is an integer number (1142069215).

Almost surely, 212119917940 is an apocalyptic number.

12119917940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12119917940 is an abundant number, since it is smaller than the sum of its proper divisors (15289743220).

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

12119917940 is a wasteful number, since it uses less digits than its factorization.

12119917940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46615091 (or 46615089 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 44.

The spelling of 12119917940 in words is "twelve billion, one hundred nineteen million, nine hundred seventeen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 46615069 93230138 186460276 233075345 466150690 605995897 932301380 1211991794 2423983588 3029979485 6059958970 12119917940