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22212220120000 = 2654975724799
BaseRepresentation
bin1010000110011101011110…
…11111010110101111000000
32220122110121210220110100021
411003032233133112233000
510402411111322320000
6115124053020503224
74451531343543661
oct503165737265700
986573553813307
1022212220120000
117094171206049
1225a8a636aab14
13c517ac7abcc1
1456b111b49368
15287bce03911a
hex1433af7d6bc0

22212220120000 has 140 divisors (see below), whose sum is σ = 55646922284800. Its totient is φ = 8793289728000.

The previous prime is 22212220119977. The next prime is 22212220120007. The reversal of 22212220120000 is 2102221222.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22212220120007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1017601 + ... + 6742399.

It is an arithmetic number, because the mean of its divisors is an integer number (397478016320).

Almost surely, 222212220120000 is an apocalyptic number.

22212220120000 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 22212220120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27823461142400).

22212220120000 is an abundant number, since it is smaller than the sum of its proper divisors (33434702164800).

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

22212220120000 is an frugal number, since it uses more digits than its factorization.

22212220120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5724928 (or 5724903 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22212220120000 its reverse (2102221222), we get a palindrome (22214322341222).

The spelling of 22212220120000 in words is "twenty-two trillion, two hundred twelve billion, two hundred twenty million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 97 100 125 160 194 200 250 320 388 400 485 500 625 776 800 970 1000 1250 1552 1600 1940 2000 2425 2500 3104 3880 4000 4850 5000 6208 7760 8000 9700 10000 12125 15520 19400 20000 24250 31040 38800 40000 48500 60625 77600 97000 121250 155200 194000 242500 388000 485000 776000 970000 1940000 3880000 5724799 11449598 22899196 28623995 45798392 57247990 91596784 114495980 143119975 183193568 228991960 286239950 366387136 457983920 555305503 572479900 715599875 915967840 1110611006 1144959800 1431199750 1831935680 2221222012 2289919600 2776527515 2862399500 3577999375 4442444024 4579839200 5553055030 5724799000 7155998750 8884888048 9159678400 11106110060 11449598000 13882637575 14311997500 17769776096 22212220120 22899196000 27765275150 28623995000 35539552192 44424440240 45798392000 55530550300 57247990000 69413187875 88848880480 111061100600 114495980000 138826375750 177697760960 222122201200 228991960000 277652751500 347065939375 444244402400 555305503000 694131878750 888488804800 1110611006000 1388263757500 2221222012000 2776527515000 4442444024000 5553055030000 11106110060000 22212220120000