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12102201121120 = 2551123298967419
BaseRepresentation
bin1011000000011100001101…
…1001100001100101100000
31120211221220012111222120121
42300013003121201211200
53041240301441333440
641423401402450024
72356232553136525
oct260070331414540
946757805458517
1012102201121120
113946573035870
1214355a2803914
1369a304234056
142dba6d0cd14c
1515ec154e934a
hexb01c3661960

12102201121120 has 96 divisors (see below), whose sum is σ = 32546789210880. Its totient is φ = 4209461245440.

The previous prime is 12102201121103. The next prime is 12102201121139. The reversal of 12102201121120 is 2112110220121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12102201121094 and 12102201121103.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 149443230 + ... + 149524189.

It is an arithmetic number, because the mean of its divisors is an integer number (339029054280).

Almost surely, 212102201121120 is an apocalyptic number.

12102201121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102201121120 is an abundant number, since it is smaller than the sum of its proper divisors (20444588089760).

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

12102201121120 is a wasteful number, since it uses less digits than its factorization.

12102201121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298967468 (or 298967460 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12102201121120 its reverse (2112110220121), we get a palindrome (14214311341241).

Subtracting from 12102201121120 its reverse (2112110220121), we obtain a palindrome (9990090900999).

The spelling of 12102201121120 in words is "twelve trillion, one hundred two billion, two hundred one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 160 176 184 220 230 253 352 368 440 460 506 736 880 920 1012 1265 1760 1840 2024 2530 3680 4048 5060 8096 10120 20240 40480 298967419 597934838 1195869676 1494837095 2391739352 2989674190 3288641609 4783478704 5979348380 6577283218 6876250637 9566957408 11958696760 13154566436 13752501274 16443208045 23917393520 26309132872 27505002548 32886416090 34381253185 47834787040 52618265744 55010005096 65772832180 68762506370 75638757007 105236531488 110020010192 131545664360 137525012740 151277514014 220040020384 263091328720 275050025480 302555028028 378193785035 526182657440 550100050960 605110056056 756387570070 1100200101920 1210220112112 1512775140140 2420440224224 3025550280280 6051100560560 12102201121120