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12102110011020 = 22351163173432359
BaseRepresentation
bin1011000000011011110111…
…1101111101111010001100
31120211221122212002010000110
42300012331331331322030
53041240110130323040
641423344350000020
72356230365541441
oct260067575757214
946757585063013
1012102110011020
113946526666467
1214355781a6010
1369a2bb3b3a53
142dba60d739c8
1515ec0c4ed980
hexb01bdf7de8c

12102110011020 has 48 divisors (see below), whose sum is σ = 33915044862720. Its totient is φ = 3224454399936.

The previous prime is 12102110011003. The next prime is 12102110011031. The reversal of 12102110011020 is 2011001120121.

It is a super-2 number, since 2×121021100110202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12102110010987 and 12102110011005.

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, 86646400 + ... + 86785959.

It is an arithmetic number, because the mean of its divisors is an integer number (706563434640).

Almost surely, 212102110011020 is an apocalyptic number.

12102110011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102110011020 is an abundant number, since it is smaller than the sum of its proper divisors (21812934851700).

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

12102110011020 is a wasteful number, since it uses less digits than its factorization.

12102110011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173433534 (or 173433532 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12102110011020 its reverse (2011001120121), we get a palindrome (14113111131141).

The spelling of 12102110011020 in words is "twelve trillion, one hundred two billion, one hundred ten million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1163 2326 3489 4652 5815 6978 11630 13956 17445 23260 34890 69780 173432359 346864718 520297077 693729436 867161795 1040594154 1734323590 2081188308 2601485385 3468647180 5202970770 10405941540 201701833517 403403667034 605105500551 806807334068 1008509167585 1210211001102 2017018335170 2420422002204 3025527502755 4034036670340 6051055005510 12102110011020