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21221012120 = 2357311140611
BaseRepresentation
bin10011110000110111…
…101111001010011000
32000202221002002222212
4103300313233022120
5321430034341440
613425423534252
71350606425000
oct236067571230
960687062885
1021221012120
118aaa787550
124142a5a388
132002648109
141054525000
15843057465
hex4f0def298

21221012120 has 128 divisors (see below), whose sum is σ = 60744384000. Its totient is φ = 6614294400.

The previous prime is 21221012119. The next prime is 21221012177. The reversal of 21221012120 is 2121012212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21221012095 and 21221012104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80615 + ... + 221225.

It is an arithmetic number, because the mean of its divisors is an integer number (474565500).

Almost surely, 221221012120 is an apocalyptic number.

21221012120 is a gapful number since it is divisible by the number (20) 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 21221012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30372192000).

21221012120 is an abundant number, since it is smaller than the sum of its proper divisors (39523371880).

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

21221012120 is a wasteful number, since it uses less digits than its factorization.

21221012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140654 (or 140636 counting only the distinct ones).

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

Adding to 21221012120 its reverse (2121012212), we get a palindrome (23342024332).

The spelling of 21221012120 in words is "twenty-one billion, two hundred twenty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 343 385 392 440 490 539 616 686 770 980 1078 1372 1540 1715 1960 2156 2695 2744 3080 3430 3773 4312 5390 6860 7546 10780 13720 15092 18865 21560 30184 37730 75460 140611 150920 281222 562444 703055 984277 1124888 1406110 1546721 1968554 2812220 3093442 3937108 4921385 5624440 6186884 6889939 7733605 7874216 9842770 10827047 12373768 13779878 15467210 19685540 21654094 27559756 30934420 34449695 39371080 43308188 48229573 54135235 55119512 61868840 68899390 75789329 86616376 96459146 108270470 137798780 151578658 192918292 216540940 241147865 275597560 303157316 378946645 385836584 433081880 482295730 530525303 606314632 757893290 964591460 1061050606 1515786580 1929182920 2122101212 2652626515 3031573160 4244202424 5305253030 10610506060 21221012120