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10121222020212 = 223243101139465721
BaseRepresentation
bin1001001101001000011111…
…0101111101110001110100
31022211120122100211220220200
42103102013311331301310
52311311230314121322
633305343013400500
72063143213456662
oct223220765756164
938746570756820
1010121222020212
113252427a74aa6
121175688939130
13585572576b74
1426dc26897c32
151284223338ac
hex93487d7dc74

10121222020212 has 144 divisors (see below), whose sum is σ = 26628642680640. Its totient is φ = 3239175744000.

The previous prime is 10121222020187. The next prime is 10121222020223. The reversal of 10121222020212 is 21202022212101.

It is a happy number.

10121222020212 is a `hidden beast` number, since 1 + 0 + 1 + 212 + 220 + 20 + 212 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21499512 + ... + 21965232.

Almost surely, 210121222020212 is an apocalyptic number.

10121222020212 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 10121222020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13314321340320).

10121222020212 is an abundant number, since it is smaller than the sum of its proper divisors (16507420660428).

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

10121222020212 is a wasteful number, since it uses less digits than its factorization.

10121222020212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466014 (or 466009 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10121222020212 its reverse (21202022212101), we get a palindrome (31323244232313).

The spelling of 10121222020212 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-two million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 101 129 139 172 202 258 278 303 387 404 417 516 556 606 774 834 909 1212 1251 1548 1668 1818 2502 3636 4343 5004 5977 8686 11954 13029 14039 17372 17931 23908 26058 28078 35862 39087 42117 52116 53793 56156 71724 78174 84234 107586 126351 156348 168468 215172 252702 465721 505404 603677 931442 1207354 1397163 1811031 1862884 2414708 2794326 3622062 4191489 5433093 5588652 7244124 8382978 10866186 16765956 20026003 21732372 40052006 47037821 60078009 64735219 80104012 94075642 120156018 129470438 141113463 180234027 188151284 194205657 240312036 258940876 282226926 360468054 388411314 423340389 564453852 582616971 720936108 776822628 846680778 1165233942 1693361556 2022626303 2330467884 2783614417 4045252606 5567228834 6067878909 6538257119 8090505212 8350843251 11134457668 12135757818 13076514238 16701686502 18203636727 19614771357 24271515636 25052529753 26153028476 33403373004 36407273454 39229542714 50105059506 58844314071 72814546908 78459085428 100210119012 117688628142 235377256284 281145056117 562290112234 843435168351 1124580224468 1686870336702 2530305505053 3373740673404 5060611010106 10121222020212