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22120999760000 = 27541716265441
BaseRepresentation
bin1010000011110011100100…
…10101010011000010000000
32220022202011111201001000102
411001321302111103002000
510344412301414310000
6115014125203541532
74442121665353361
oct501716225230200
986282144631012
1022120999760000
117059510742479
12259324608a8a8
13c46002bb731b
1456693ab3bb68
1528564099e3d5
hex141e72553080

22120999760000 has 160 divisors (see below), whose sum is σ = 58308193827180. Its totient is φ = 8327905280000.

The previous prime is 22120999759867. The next prime is 22120999760047. The reversal of 22120999760000 is 6799902122.

It can be written as a sum of positive squares in 10 ways, for example, as 3943465185856 + 18177534574144 = 1985816^2 + 4263512^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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 19 ways as a sum of consecutive naturals, for example, 6772721 + ... + 9492720.

Almost surely, 222120999760000 is an apocalyptic number.

22120999760000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120999760000 is an abundant number, since it is smaller than the sum of its proper divisors (36187194067180).

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

22120999760000 is an equidigital number, since it uses as much as digits as its factorization.

22120999760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16265492 (or 16265465 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 47.

The spelling of 22120999760000 in words is "twenty-two trillion, one hundred twenty billion, nine hundred ninety-nine million, seven hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 128 136 160 170 200 250 272 320 340 400 425 500 544 625 640 680 800 850 1000 1088 1250 1360 1600 1700 2000 2125 2176 2500 2720 3200 3400 4000 4250 5000 5440 6800 8000 8500 10000 10625 10880 13600 16000 17000 20000 21250 27200 34000 40000 42500 54400 68000 80000 85000 136000 170000 272000 340000 680000 1360000 16265441 32530882 65061764 81327205 130123528 162654410 260247056 276512497 325308820 406636025 520494112 553024994 650617640 813272050 1040988224 1106049988 1301235280 1382562485 1626544100 2033180125 2081976448 2212099976 2602470560 2765124970 3253088200 4066360250 4424199952 5204941120 5530249940 6506176400 6912812425 8132720500 8848399904 10165900625 10409882240 11060499880 13012352800 13825624850 16265441000 17696799808 20331801250 22120999760 26024705600 27651249700 32530882000 34564062125 35393599616 40663602500 44241999520 52049411200 55302499400 65061764000 69128124250 81327205000 88483999040 110604998800 130123528000 138256248500 162654410000 172820310625 176967998080 221209997600 260247056000 276512497000 325308820000 345640621250 442419995200 553024994000 650617640000 691281242500 884839990400 1106049988000 1301235280000 1382562485000 2212099976000 2765124970000 4424199952000 5530249940000 11060499880000 22120999760000