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21121212211220 = 22511219993746807
BaseRepresentation
bin1001100110101101010100…
…10110011110000000010100
32202210011112121001020211002
410303112222112132000110
510232022220311224340
6112530541223002432
74306646220410552
oct463265226360024
982704477036732
1021121212211220
116803501734300
122451523299418
13ba294c945284
145303b49d8bd2
15269627c01715
hex1335aa59e014

21121212211220 has 144 divisors (see below), whose sum is σ = 49051675948800. Its totient is φ = 7633526883840.

The previous prime is 21121212211213. The next prime is 21121212211247. The reversal of 21121212211220 is 2211221212112.

It is a super-2 number, since 2×211212122112202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21121212211192 and 21121212211201.

It is a congruent 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, 451217057 + ... + 451263863.

Almost surely, 221121212211220 is an apocalyptic number.

21121212211220 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 21121212211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24525837974400).

21121212211220 is an abundant number, since it is smaller than the sum of its proper divisors (27930463737580).

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

21121212211220 is a wasteful number, since it uses less digits than its factorization.

21121212211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47974 (or 47961 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 21121212211220 its reverse (2211221212112), we get a palindrome (23332433423332).

The spelling of 21121212211220 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred twelve million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 199 220 242 398 484 605 796 937 995 1210 1874 1990 2189 2420 3748 3980 4378 4685 8756 9370 10307 10945 18740 20614 21890 24079 41228 43780 46807 48158 51535 93614 96316 103070 113377 120395 186463 187228 206140 226754 234035 240790 372926 453508 468070 481580 514877 566885 745852 932315 936140 1029754 1133770 1864630 2051093 2059508 2267540 2574385 3729260 4102186 5148770 5663647 8204372 9314593 10255465 10297540 11327294 18629186 20510930 22562023 22654588 28318235 37258372 41021860 43858159 45124046 46572965 56636470 87716318 90248092 93145930 102460523 112810115 113272940 175432636 186291860 204921046 219290795 225620230 409842092 438581590 451240460 482439749 512302615 877163180 964879498 1024605230 1127065753 1929758996 2049210460 2254131506 2412198745 4508263012 4824397490 5306837239 5635328765 8727773641 9648794980 10613674478 11270657530 17455547282 21227348956 22541315060 26534186195 34911094564 43638868205 53068372390 87277736410 96005510051 106136744780 174555472820 192011020102 384022040204 480027550255 960055100510 1056060610561 1920110201020 2112121221122 4224242442244 5280303052805 10560606105610 21121212211220