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12121122013320 = 2335317443719281
BaseRepresentation
bin1011000001100010101100…
…1011000000000010001000
31120220202201211111220012210
42300120223023000002020
53042043024213411240
641440211103105120
72360502463103535
oct260305313000210
946822654456183
1012121122013320
1139535a241a161
1214391a32a21a0
1369c02b194558
142dc945d53d8c
15160471659780
hexb062b2c0088

12121122013320 has 128 divisors (see below), whose sum is σ = 36560471091840. Its totient is φ = 3214824837120.

The previous prime is 12121122013309. The next prime is 12121122013333. The reversal of 12121122013320 is 2331022112121.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16492080 + ... + 17211360.

It is an arithmetic number, because the mean of its divisors is an integer number (285628680405).

Almost surely, 212121122013320 is an apocalyptic number.

12121122013320 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 12121122013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280235545920).

12121122013320 is an abundant number, since it is smaller than the sum of its proper divisors (24439349078520).

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

12121122013320 is a wasteful number, since it uses less digits than its factorization.

12121122013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720055 (or 720051 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12121122013320 its reverse (2331022112121), we get a palindrome (14452144125441).

It can be divided in two parts, 121211 and 22013320, that added together give a triangular number (22134531 = T6653).

The spelling of 12121122013320 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty-two million, thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 317 443 634 886 951 1268 1329 1585 1772 1902 2215 2536 2658 3170 3544 3804 4430 4755 5316 6340 6645 7608 8860 9510 10632 12680 13290 17720 19020 26580 38040 53160 140431 280862 421293 561724 702155 719281 842586 1123448 1404310 1438562 1685172 2106465 2157843 2808620 2877124 3370344 3596405 4212930 4315686 5617240 5754248 7192810 8425860 8631372 10789215 14385620 16851720 17262744 21578430 28771240 43156860 86313720 228012077 318641483 456024154 637282966 684036231 912048308 955924449 1140060385 1274565932 1368072462 1593207415 1824096616 1911848898 2280120770 2549131864 2736144924 3186414830 3420181155 3823697796 4560241540 4779622245 5472289848 6372829660 6840362310 7647395592 9120483080 9559244490 12745659320 13680724620 19118488980 27361449240 38236977960 101009350111 202018700222 303028050333 404037400444 505046750555 606056100666 808074800888 1010093501110 1212112201332 1515140251665 2020187002220 2424224402664 3030280503330 4040374004440 6060561006660 12121122013320