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12213311220 = 2235511228457
BaseRepresentation
bin10110101111111100…
…00101011011110100
31011112011111111100000
423113332011123310
5200003101424340
65335525351300
7611441301225
oct132776053364
934464444300
1012213311220
1151a8106540
12244a268530
1311c83cc896
1483c0a724c
154b7358d30
hex2d7f856f4

12213311220 has 144 divisors (see below), whose sum is σ = 41911990848. Its totient is φ = 2960789760.

The previous prime is 12213311197. The next prime is 12213311233. The reversal of 12213311220 is 2211331221.

12213311220 is a `hidden beast` number, since 122 + 13 + 311 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12213311193 and 12213311202.

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, 60769 + ... + 167688.

It is an arithmetic number, because the mean of its divisors is an integer number (291055492).

Almost surely, 212213311220 is an apocalyptic number.

12213311220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12213311220 is an abundant number, since it is smaller than the sum of its proper divisors (29698679628).

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

12213311220 is a wasteful number, since it uses less digits than its factorization.

12213311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228492 (or 228478 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12213311220 its reverse (2211331221), we get a palindrome (14424642441).

The spelling of 12213311220 in words is "twelve billion, two hundred thirteen million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 891 972 990 1188 1215 1485 1620 1782 1980 2430 2673 2970 3564 4455 4860 5346 5940 8910 10692 13365 17820 26730 53460 228457 456914 685371 913828 1142285 1370742 2056113 2284570 2513027 2741484 3426855 4112226 4569140 5026054 6168339 6853710 7539081 8224452 10052108 10280565 12336678 12565135 13707420 15078162 18505017 20561130 22617243 24673356 25130270 30156324 30841695 37010034 37695405 41122260 45234486 50260540 55515051 61683390 67851729 74020068 75390810 90468972 92525085 111030102 113086215 123366780 135703458 150781620 185050170 203555187 222060204 226172430 271406916 277575255 339258645 370100340 407110374 452344860 555150510 610665561 678517290 814220748 1017775935 1110301020 1221331122 1357034580 2035551870 2442662244 3053327805 4071103740 6106655610 12213311220