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12122212111220 = 22517291427861551
BaseRepresentation
bin1011000001100110110000…
…1001011001001101110100
31120220212112210201121102002
42300121230021121031310
53042102242300024340
641440511203434432
72360541500555531
oct260315411311564
946825483647362
1012122212111220
113954001790912
121439448385a18
1369c172c890b3
142dca0aa35d88
151604d71d6715
hexb066c259374

12122212111220 has 96 divisors (see below), whose sum is σ = 27903119086080. Its totient is φ = 4403195955200.

The previous prime is 12122212111199. The next prime is 12122212111267. The reversal of 12122212111220 is 2211121222121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12122212111192 and 12122212111201.

It is a congruent number.

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, 13639445 + ... + 14500995.

It is an arithmetic number, because the mean of its divisors is an integer number (290657490480).

Almost surely, 212122212111220 is an apocalyptic number.

12122212111220 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 12122212111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13951559543040).

12122212111220 is an abundant number, since it is smaller than the sum of its proper divisors (15780906974860).

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

12122212111220 is a wasteful number, since it uses less digits than its factorization.

12122212111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863033 (or 863031 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 12122212111220 its reverse (2211121222121), we get a palindrome (14333333333341).

The spelling of 12122212111220 in words is "twelve trillion, one hundred twenty-two billion, two hundred twelve million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1427 1972 2465 2854 4930 5708 7135 9860 14270 24259 28540 41383 48518 82766 97036 121295 165532 206915 242590 413830 485180 703511 827660 861551 1407022 1723102 2814044 3446204 3517555 4307755 7035110 8615510 14070220 14646367 17231020 24984979 29292734 49969958 58585468 73231835 99939916 124924895 146463670 249849790 292927340 424744643 499699580 849489286 1229433277 1698978572 2123723215 2458866554 4247446430 4917733108 6147166385 8494892860 12294332770 20900365709 24588665540 35653565033 41800731418 71307130066 83601462836 104501828545 142614260132 178267825165 209003657090 356535650330 418007314180 606110605561 713071300660 1212221211122 2424442422244 3030553027805 6061106055610 12122212111220