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22120021200 = 24352113163127
BaseRepresentation
bin10100100110011101…
…001011110011010000
32010002120201111121110
4110212131023303100
5330300211134300
614054540453320
71412104035504
oct244635136320
963076644543
1022120021200
1194211a2362
124353b4a240
132116985754
1410dbaa4304
15896e3a550
hex52674bcd0

22120021200 has 120 divisors (see below), whose sum is σ = 71485299648. Its totient is φ = 5846435840.

The previous prime is 22120021199. The next prime is 22120021243. The reversal of 22120021200 is 212002122.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54037 + ... + 217163.

Almost surely, 222120021200 is an apocalyptic number.

22120021200 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 22120021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35742649824).

22120021200 is an abundant number, since it is smaller than the sum of its proper divisors (49365278448).

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

22120021200 is a wasteful number, since it uses less digits than its factorization.

22120021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163261 (or 163250 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22120021200 its reverse (212002122), we get a palindrome (22332023322).

The spelling of 22120021200 in words is "twenty-two billion, one hundred twenty million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 113 120 150 200 226 240 300 339 400 452 565 600 678 904 1130 1200 1356 1695 1808 2260 2712 2825 3390 4520 5424 5650 6780 8475 9040 11300 13560 16950 22600 27120 33900 45200 67800 135600 163127 326254 489381 652508 815635 978762 1305016 1631270 1957524 2446905 2610032 3262540 3915048 4078175 4893810 6525080 7830096 8156350 9787620 12234525 13050160 16312700 18433351 19575240 24469050 32625400 36866702 39150480 48938100 55300053 65250800 73733404 92166755 97876200 110600106 147466808 184333510 195752400 221200212 276500265 294933616 368667020 442400424 460833775 553000530 737334040 884800848 921667550 1106001060 1382501325 1474668080 1843335100 2212002120 2765002650 3686670200 4424004240 5530005300 7373340400 11060010600 22120021200