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22121210112 = 283231677499
BaseRepresentation
bin10100100110100001…
…101110000100000000
32010002122221220111020
4110212201232010000
5330301012210422
614055022145440
71412120116641
oct244641560400
963078856436
1022121210112
119421934631
124354422280
132116cb0951
1410dbcd36c8
158970c295c
hex52686e100

22121210112 has 144 divisors (see below), whose sum is σ = 61810560000. Its totient is φ = 7009970176.

The previous prime is 22121210081. The next prime is 22121210131. The reversal of 22121210112 is 21101212122.

It is a junction number, because it is equal to n+sod(n) for n = 22121210091 and 22121210100.

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, 2946139 + ... + 2953637.

It is an arithmetic number, because the mean of its divisors is an integer number (429240000).

Almost surely, 222121210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30905280000).

22121210112 is an abundant number, since it is smaller than the sum of its proper divisors (39689349888).

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

22121210112 is a wasteful number, since it uses less digits than its factorization.

22121210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7708 (or 7694 counting only the distinct ones).

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

Adding to 22121210112 its reverse (21101212122), we get a palindrome (43222422234).

The spelling of 22121210112 in words is "twenty-two billion, one hundred twenty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 167 184 192 256 276 334 368 384 501 552 668 736 768 1002 1104 1336 1472 2004 2208 2672 2944 3841 4008 4416 5344 5888 7499 7682 8016 8832 10688 11523 14998 15364 16032 17664 21376 22497 23046 29996 30728 32064 42752 44994 46092 59992 61456 64128 89988 92184 119984 122912 128256 172477 179976 184368 239968 245824 344954 359952 368736 479936 491648 517431 689908 719904 737472 959872 983296 1034862 1252333 1379816 1439808 1474944 1919744 2069724 2504666 2759632 2879616 2949888 3756999 4139448 5009332 5519264 5759232 7513998 8278896 10018664 11038528 15027996 16557792 20037328 22077056 28803659 30055992 33115584 40074656 44154112 57607318 60111984 66231168 80149312 86410977 115214636 120223968 132462336 160298624 172821954 230429272 240447936 320597248 345643908 460858544 480895872 691287816 921717088 961791744 1382575632 1843434176 2765151264 3686868352 5530302528 7373736704 11060605056 22121210112