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12103412200 = 23521123311511
BaseRepresentation
bin10110100010110101…
…10110100111101000
31011020111201001012221
423101122312213220
5144241433142300
65321002043424
7605635210015
oct132132664750
934214631187
1012103412200
115151073800
1224194a9574
1311ab701489
1482b65a70c
154ac89b31a
hex2d16b69e8

12103412200 has 144 divisors (see below), whose sum is σ = 31045200480. Its totient is φ = 4385040000.

The previous prime is 12103412183. The next prime is 12103412207. The reversal of 12103412200 is 221430121.

It is not an unprimeable number, because it can be changed into a prime (12103412207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8009445 + ... + 8010955.

It is an arithmetic number, because the mean of its divisors is an integer number (215591670).

Almost surely, 212103412200 is an apocalyptic number.

12103412200 is a gapful number since it is divisible by the number (10) 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 12103412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15522600240).

12103412200 is an abundant number, since it is smaller than the sum of its proper divisors (18941788280).

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

12103412200 is a wasteful number, since it uses less digits than its factorization.

12103412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12103412200 its reverse (221430121), we get a palindrome (12324842321).

The spelling of 12103412200 in words is "twelve billion, one hundred three million, four hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 331 440 484 550 605 662 968 1100 1210 1324 1511 1655 2200 2420 2648 3022 3025 3310 3641 4840 6044 6050 6620 7282 7555 8275 12088 12100 13240 14564 15110 16550 16621 18205 24200 29128 30220 33100 33242 36410 37775 40051 60440 66200 66484 72820 75550 80102 83105 91025 132968 145640 151100 160204 166210 182050 182831 200255 302200 320408 332420 364100 365662 400510 415525 500141 664840 728200 731324 801020 831050 914155 1000282 1001275 1462648 1602040 1662100 1828310 2000564 2002550 2500705 3324200 3656620 4001128 4005100 4570775 5001410 5501551 7313240 8010200 9141550 10002820 11003102 12503525 18283100 20005640 22006204 25007050 27507755 36566200 44012408 50014100 55015510 60517061 100028200 110031020 121034122 137538775 220062040 242068244 275077550 302585305 484136488 550155100 605170610 1100310200 1210341220 1512926525 2420682440 3025853050 6051706100 12103412200