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1212220012100 = 2252535915125673
BaseRepresentation
bin10001101000111101111…
…100010111011001000100
311021212221200211001012012
4101220331330113121010
5124330111310341400
62324515225513352
7153402641043326
oct21507574273104
94255850731165
101212220012100
1142811065a049
12176b2a042858
138a4091c25b6
1442959457616
15217ec919d35
hex11a3df17644

1212220012100 has 144 divisors (see below), whose sum is σ = 2743733139840. Its totient is φ = 464560512000.

The previous prime is 1212220012099. The next prime is 1212220012103. The reversal of 1212220012100 is 12100222121.

It is not an unprimeable number, because it can be changed into a prime (1212220012103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47204864 + ... + 47230536.

It is an arithmetic number, because the mean of its divisors is an integer number (19053702360).

Almost surely, 21212220012100 is an apocalyptic number.

1212220012100 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 1212220012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371866569920).

1212220012100 is an abundant number, since it is smaller than the sum of its proper divisors (1531513127740).

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

1212220012100 is a wasteful number, since it uses less digits than its factorization.

1212220012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25950 (or 25943 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1212220012100 its reverse (12100222121), we get a palindrome (1224320234221).

The spelling of 1212220012100 in words is "one trillion, two hundred twelve billion, two hundred twenty million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 59 100 106 118 151 212 236 265 295 302 530 590 604 755 1060 1180 1325 1475 1510 2650 2950 3020 3127 3775 5300 5900 6254 7550 8003 8909 12508 15100 15635 16006 17818 25673 31270 32012 35636 40015 44545 51346 62540 78175 80030 89090 102692 128365 156350 160060 178180 200075 222725 256730 312700 400150 445450 472177 513460 641825 800300 890900 944354 1283650 1360669 1514707 1888708 2360885 2567300 2721338 3029414 3876623 4721770 5442676 6058828 6803345 7573535 7753246 9443540 11804425 13606690 15147070 15506492 19383115 23608850 27213380 30294140 34016725 37867675 38766230 47217700 68033450 75735350 77532460 80279471 96915575 136066900 151470700 160558942 193831150 205461019 228720757 321117884 387662300 401397355 410922038 457441514 802794710 821844076 914883028 1027305095 1143603785 1605589420 2006986775 2054610190 2287207570 4013973550 4109220380 4574415140 5136525475 5718018925 8027947100 10273050950 11436037850 12122200121 20546101900 22872075700 24244400242 48488800484 60611000605 121222001210 242444002420 303055003025 606110006050 1212220012100