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12122094030 = 2354115762773
BaseRepresentation
bin10110100101000100…
…00111100111001110
31011021210212011212120
423102202013213032
5144311224002110
65322510313410
7606253046004
oct132242074716
934253764776
1012122094030
115160673732
1224237b8866
1311b2542907
1482dd20a74
154ae33b870
hex2d28879ce

12122094030 has 64 divisors (see below), whose sum is σ = 29992915008. Its totient is φ = 3133578240.

The previous prime is 12122094029. The next prime is 12122094037. The reversal of 12122094030 is 3049022121.

12122094030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122094037) 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 31 ways as a sum of consecutive naturals, for example, 161724 + ... + 224496.

It is an arithmetic number, because the mean of its divisors is an integer number (468639297).

Almost surely, 212122094030 is an apocalyptic number.

12122094030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122094030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14996457504).

12122094030 is an abundant number, since it is smaller than the sum of its proper divisors (17870820978).

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

12122094030 is a wasteful number, since it uses less digits than its factorization.

12122094030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62981.

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 12122094030 in words is "twelve billion, one hundred twenty-two million, ninety-four thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 157 205 246 314 410 471 615 785 942 1230 1570 2355 4710 6437 12874 19311 32185 38622 62773 64370 96555 125546 188319 193110 313865 376638 627730 941595 1883190 2573693 5147386 7721079 9855361 12868465 15442158 19710722 25736930 29566083 38605395 49276805 59132166 77210790 98553610 147830415 295660830 404069801 808139602 1212209403 2020349005 2424418806 4040698010 6061047015 12122094030