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21221101112120 = 23571321127630203
BaseRepresentation
bin1001101001100111011000…
…01100011000101100111000
32210010201101000122011202022
410310303230030120230320
510240141303341041440
6113044501140454012
74320113445146150
oct464635414305470
983121330564668
1021221101112120
116841900387a68
12246895b9aa308
13bac1ab4262b0
1453516cdb9760
1526c0222e2cb5
hex134cec318b38

21221101112120 has 128 divisors (see below), whose sum is σ = 59044640739840. Its totient is φ = 6684298467840.

The previous prime is 21221101112119. The next prime is 21221101112177. The reversal of 21221101112120 is 2121110112212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13047062 + ... + 14583141.

It is an arithmetic number, because the mean of its divisors is an integer number (461286255780).

Almost surely, 221221101112120 is an apocalyptic number.

21221101112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221101112120 is an abundant number, since it is smaller than the sum of its proper divisors (37823539627720).

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

21221101112120 is a wasteful number, since it uses less digits than its factorization.

21221101112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27630445 (or 27630441 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 21221101112120 its reverse (2121110112212), we get a palindrome (23342211224332).

The spelling of 21221101112120 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 211 260 280 364 422 455 520 728 844 910 1055 1477 1688 1820 2110 2743 2954 3640 4220 5486 5908 7385 8440 10972 11816 13715 14770 19201 21944 27430 29540 38402 54860 59080 76804 96005 109720 153608 192010 384020 768040 27630203 55260406 110520812 138151015 193411421 221041624 276302030 359192639 386822842 552604060 718385278 773645684 967057105 1105208120 1436770556 1547291368 1795963195 1934114210 2514348473 2873541112 3591926390 3868228420 5028696946 5829972833 7183852780 7736456840 10057393892 11659945666 12571742365 14367705560 20114787784 23319891332 25143484730 29149864165 40809809831 46639782664 50286969460 58299728330 75789646829 81619619662 100573938920 116599456660 151579293658 163239239324 204049049155 233198913320 303158587316 326478478648 378948234145 408098098310 530527527803 606317174632 757896468290 816196196620 1061055055606 1515792936580 1632392393240 2122110111212 2652637639015 3031585873160 4244220222424 5305275278030 10610550556060 21221101112120