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12068974720 = 275112935851
BaseRepresentation
bin10110011110101110…
…11111000010000000
31011011002220102212201
423033113133002000
5144204124142340
65313332002544
7605036410135
oct131727370200
934132812781
1012068974720
115133692380
122409a60454
1311a453477a
14826c5458c
154a984779a
hex2cf5df080

12068974720 has 128 divisors (see below), whose sum is σ = 31588159680. Its totient is φ = 4372992000.

The previous prime is 12068974711. The next prime is 12068974763. The reversal of 12068974720 is 2747986021.

12068974720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 2059795 + ... + 2065645.

Almost surely, 212068974720 is an apocalyptic number.

12068974720 is a gapful number since it is divisible by the number (10) 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 12068974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15794079840).

12068974720 is an abundant number, since it is smaller than the sum of its proper divisors (19519184960).

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

12068974720 is a wasteful number, since it uses less digits than its factorization.

12068974720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 12068974720 in words is "twelve billion, sixty-eight million, nine hundred seventy-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 293 320 352 440 586 640 704 880 1172 1408 1465 1760 2344 2930 3223 3520 4688 5851 5860 6446 7040 9376 11702 11720 12892 16115 18752 23404 23440 25784 29255 32230 37504 46808 46880 51568 58510 64361 64460 93616 93760 103136 117020 128722 128920 187232 187520 206272 234040 257444 257840 321805 374464 412544 468080 514888 515680 643610 748928 936160 1029776 1031360 1287220 1714343 1872320 2059552 2062720 2574440 3428686 3744640 4119104 5148880 6857372 8238208 8571715 10297760 13714744 17143430 18857773 20595520 27429488 34286860 37715546 41191040 54858976 68573720 75431092 94288865 109717952 137147440 150862184 188577730 219435904 274294880 301724368 377155460 548589760 603448736 754310920 1097179520 1206897472 1508621840 2413794944 3017243680 6034487360 12068974720