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12112212020202 = 23271311912138377
BaseRepresentation
bin1011000001000001100000…
…0110000100101111101010
31120212220201212210100102200
42300100120012010233222
53041421302234121302
641432135015041030
72360035622314320
oct260203006045752
946786655710380
1012112212020202
11394a83aa14488
121437517370176
1369b23b269388
142dc33c88bd10
151600ee30b81c
hexb0418184bea

12112212020202 has 96 divisors (see below), whose sum is σ = 30223459753344. Its totient is φ = 3433945881600.

The previous prime is 12112212020179. The next prime is 12112212020219. The reversal of 12112212020202 is 20202021221121.

It is a happy number.

It is a super-2 number, since 2×121122120202022 (a number of 27 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315592038 + ... + 315630414.

It is an arithmetic number, because the mean of its divisors is an integer number (314827705764).

Almost surely, 212112212020202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112212020202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15111729876672).

12112212020202 is an abundant number, since it is smaller than the sum of its proper divisors (18111247733142).

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

12112212020202 is a wasteful number, since it uses less digits than its factorization.

12112212020202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57644 (or 57641 counting only the distinct ones).

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

Adding to 12112212020202 its reverse (20202021221121), we get a palindrome (32314233241323).

The spelling of 12112212020202 in words is "twelve trillion, one hundred twelve billion, two hundred twelve million, twenty thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 786 917 1179 1834 2358 2751 5502 8253 16506 19121 38242 38377 57363 76754 114726 115131 133847 172089 230262 267694 268639 344178 345393 401541 537278 690786 803082 805917 1204623 1611834 2409246 2417751 2504851 4835502 5009702 5027387 7514553 10054774 15029106 15082161 17533957 22543659 30164322 35067914 35191709 45087318 45246483 52601871 70383418 90492966 105203742 105575127 157805613 211150254 315611226 316725381 633450762 733806617 1467613234 2201419851 4402839702 5136646319 6604259553 10273292638 13208519106 15409938957 30819877914 46229816871 92459633742 96128666827 192257333654 288386000481 576772000962 672900667789 865158001443 1345801335578 1730316002886 2018702003367 4037404006734 6056106010101 12112212020202