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22120101111200 = 255240967604221
BaseRepresentation
bin1010000011110001111001…
…10001001110010110100000
32220022122211212201221121112
411001320330301032112200
510344403431341024300
6115013500102442452
74442060504103131
oct501707461162640
986278755657545
1022120101111200
11705909a453314
122593035133428
13c45bbb974981
14566893653c88
152855dbb3ce35
hex141e3cc4e5a0

22120101111200 has 72 divisors (see below), whose sum is σ = 54132728682060. Its totient is φ = 8826406963200.

The previous prime is 22120101111193. The next prime is 22120101111247. The reversal of 22120101111200 is 211110102122.

It can be written as a sum of positive squares in 6 ways, for example, as 5635819024144 + 16484282087056 = 2373988^2 + 4060084^2 .

It is a super-2 number, since 2×221201011112002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33474911 + ... + 34129310.

Almost surely, 222120101111200 is an apocalyptic number.

22120101111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120101111200 is an abundant number, since it is smaller than the sum of its proper divisors (32012627570860).

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

22120101111200 is a wasteful number, since it uses less digits than its factorization.

22120101111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67604650 (or 67604637 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22120101111200 its reverse (211110102122), we get a palindrome (22331211213322).

The spelling of 22120101111200 in words is "twenty-two trillion, one hundred twenty billion, one hundred one million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 409 800 818 1636 2045 3272 4090 6544 8180 10225 13088 16360 20450 32720 40900 65440 81800 163600 327200 67604221 135208442 270416884 338021105 540833768 676042210 1081667536 1352084420 1690105525 2163335072 2704168840 3380211050 5408337680 6760422100 10816675360 13520844200 27041688400 27650126389 54083376800 55300252778 110600505556 138250631945 221201011112 276501263890 442402022224 553002527780 691253159725 884804044448 1106005055560 1382506319450 2212010111120 2765012638900 4424020222240 5530025277800 11060050555600 22120101111200