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121222212100 = 225211713534397
BaseRepresentation
bin111000011100101101…
…0000010101000000100
3102120220011222102022021
41300321122002220010
53441230341241400
6131404432412524
711520666541663
oct1607132025004
9376804872267
10121222212100
1147456862170
121b5b10a7144
13b57b487ab2
145c1d7b8dda
15324742c71a
hex1c39682a04

121222212100 has 144 divisors (see below), whose sum is σ = 291898567296. Its totient is φ = 43326976000.

The previous prime is 121222212053. The next prime is 121222212131. The reversal of 121222212100 is 1212222121.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27567102 + ... + 27571498.

It is an arithmetic number, because the mean of its divisors is an integer number (2027073384).

Almost surely, 2121222212100 is an apocalyptic number.

121222212100 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 121222212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145949283648).

121222212100 is an abundant number, since it is smaller than the sum of its proper divisors (170676355196).

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

121222212100 is a wasteful number, since it uses less digits than its factorization.

121222212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4846 (or 4839 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121222212100 its reverse (1212222121), we get a palindrome (122434434221).

121222212100 divided by its reverse (1212222121) gives a square (100 = 102).

It can be divided in two parts, 12122 and 2212100, that added together give a palindrome (2224222).

The spelling of 121222212100 in words is "one hundred twenty-one billion, two hundred twenty-two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 110 142 220 275 284 353 355 550 706 710 781 1100 1412 1420 1562 1765 1775 3124 3530 3550 3883 3905 4397 7060 7100 7766 7810 8794 8825 15532 15620 17588 17650 19415 19525 21985 25063 35300 38830 39050 43970 48367 50126 77660 78100 87940 96734 97075 100252 109925 125315 193468 194150 219850 241835 250630 275693 312187 388300 439700 483670 501260 551386 624374 626575 967340 1102772 1209175 1248748 1253150 1378465 1552141 1560935 2418350 2506300 2756930 3104282 3121870 3434057 4836700 5513860 6208564 6243740 6868114 6892325 7760705 7804675 13736228 13784650 15521410 15609350 17073551 17170285 27569300 31042820 31218700 34147102 34340570 38803525 68294204 68681140 77607050 85367755 85851425 110202011 155214100 170735510 171702850 220404022 341471020 343405700 426838775 440808044 551010055 853677550 1102020110 1212222121 1707355100 2204040220 2424444242 2755050275 4848888484 5510100550 6061110605 11020201100 12122221210 24244442420 30305553025 60611106050 121222212100