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122102201011212 = 22332338535688461
BaseRepresentation
bin11011110000110100100010…
…010100010100110000001100
3121000022212010022212011221000
4123300310202110110300030
5112001010301424324322
61111404550552140300
734501410240021102
oct3360644224246014
9530285108764830
10122102201011212
11359a6286300424
1211840284097690
13531925a497476
142221ac7001c72
15e1b259bd93ac
hex6f0d22514c0c

122102201011212 has 96 divisors (see below), whose sum is σ = 318292657824960. Its totient is φ = 40478535267840.

The previous prime is 122102201011201. The next prime is 122102201011229. The reversal of 122102201011212 is 212110102201221.

122102201011212 is a `hidden beast` number, since 1 + 2 + 210 + 220 + 10 + 11 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18620662 + ... + 24309122.

It is an arithmetic number, because the mean of its divisors is an integer number (3315548519010).

Almost surely, 2122102201011212 is an apocalyptic number.

122102201011212 is a gapful number since it is divisible by the number (12) 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 122102201011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159146328912480).

122102201011212 is an abundant number, since it is smaller than the sum of its proper divisors (196190456813748).

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

122102201011212 is a wasteful number, since it uses less digits than its factorization.

122102201011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5689560 (or 5689552 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122102201011212 its reverse (212110102201221), we get a palindrome (334212303212433).

The spelling of 122102201011212 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred one million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 233 466 699 853 932 1398 1706 2097 2559 2796 3412 4194 5118 6291 7677 8388 10236 12582 15354 23031 25164 30708 46062 92124 198749 397498 596247 794996 1192494 1788741 2384988 3577482 5366223 5688461 7154964 10732446 11376922 17065383 21464892 22753844 34130766 51196149 68261532 102392298 153588447 204784596 307176894 614353788 1325411413 2650822826 3976234239 4852257233 5301645652 7952468478 9704514466 11928702717 14556771699 15904936956 19409028932 23857405434 29113543398 35786108151 43670315097 47714810868 58227086796 71572216302 87340630194 131010945291 143144432604 174681260388 262021890582 524043781164 1130575935289 2261151870578 3391727805867 4522303741156 6783455611734 10175183417601 13566911223468 20350366835202 30525550252803 40700733670404 61051100505606 122102201011212