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12122121120 = 253559428041
BaseRepresentation
bin10110100101000100…
…01110001110100000
31011021210220120000220
423102202032032200
5144311230333440
65322511043040
7606253220664
oct132242161640
934253816026
1012122121120
11516069201a
122423810480
1311b2552045
1482dd2a8a4
154ae3448d0
hex2d288e3a0

12122121120 has 96 divisors (see below), whose sum is σ = 38831970240. Its totient is φ = 3177768960.

The previous prime is 12122121103. The next prime is 12122121149. The reversal of 12122121120 is 2112122121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12122121120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185701 + ... + 242340.

It is an arithmetic number, because the mean of its divisors is an integer number (404499690).

Almost surely, 212122121120 is an apocalyptic number.

12122121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122121120 is an abundant number, since it is smaller than the sum of its proper divisors (26709849120).

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

12122121120 is a wasteful number, since it uses less digits than its factorization.

12122121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428118 (or 428110 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12122121120 its reverse (2112122121), we get a palindrome (14234243241).

The spelling of 12122121120 in words is "twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 80 96 118 120 160 177 236 240 295 354 472 480 590 708 885 944 1180 1416 1770 1888 2360 2832 3540 4720 5664 7080 9440 14160 28320 428041 856082 1284123 1712164 2140205 2568246 3424328 4280410 5136492 6420615 6848656 8560820 10272984 12841230 13697312 17121640 20545968 25254419 25682460 34243280 41091936 50508838 51364920 68486560 75763257 101017676 102729840 126272095 151526514 202035352 205459680 252544190 303053028 378816285 404070704 505088380 606106056 757632570 808141408 1010176760 1212212112 1515265140 2020353520 2424424224 3030530280 4040707040 6061060560 12122121120