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20122100000112 = 24311412777933461
BaseRepresentation
bin1001001001101000010101…
…00111110110010101110000
32122020122122202011011202010
410210310022213312111300
510114140030100000422
6110443544244522520
74144526252631405
oct444641247662560
978218582134663
1020122100000112
116458809960340
12230b96a6b0440
13b2c676589006
144d7cb44502ac
1524d64e3a3b0c
hex124d0a9f6570

20122100000112 has 160 divisors (see below), whose sum is σ = 58094679202560. Its totient is φ = 5948492032000.

The previous prime is 20122100000069. The next prime is 20122100000137. The reversal of 20122100000112 is 21100000122102.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601343062 + ... + 601376522.

It is an arithmetic number, because the mean of its divisors is an integer number (363091745016).

Almost surely, 220122100000112 is an apocalyptic number.

20122100000112 is a gapful number since it is divisible by the number (22) 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 20122100000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29047339601280).

20122100000112 is an abundant number, since it is smaller than the sum of its proper divisors (37972579202448).

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

20122100000112 is a wasteful number, since it uses less digits than its factorization.

20122100000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61303 (or 61297 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20122100000112 its reverse (21100000122102), we get a palindrome (41222100122214).

The spelling of 20122100000112 in words is "twenty trillion, one hundred twenty-two billion, one hundred million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 164 176 246 264 328 451 492 528 656 902 984 1353 1804 1968 2706 3608 5412 7216 10824 21648 27779 33461 55558 66922 83337 100383 111116 133844 166674 200766 222232 267688 305569 333348 368071 401532 444464 535376 611138 666696 736142 803064 916707 1104213 1138939 1222276 1333392 1371901 1472284 1606128 1833414 2208426 2277878 2444552 2743802 2944568 3416817 3666828 4115703 4416852 4555756 4889104 5487604 5889136 6833634 7333656 8231406 8833704 9111512 10975208 12528329 13667268 14667312 15090911 16462812 17667408 18223024 21950416 25056658 27334536 30181822 32925624 37584987 45272733 50113316 54669072 60363644 65851248 75169974 90545466 100226632 120727288 150339948 181090932 200453264 241454576 300679896 362181864 601359792 724363728 929513119 1859026238 2788539357 3718052476 5577078714 7436104952 10224644309 11154157428 14872209904 20449288618 22308314856 30673932927 38110037879 40898577236 44616629712 61347865854 76220075758 81797154472 114330113637 122695731708 152440151516 163594308944 228660227274 245391463416 304880303032 419210416669 457320454548 490782926832 609760606064 838420833338 914640909096 1257631250007 1676841666676 1829281818192 2515262500014 3353683333352 5030525000028 6707366666704 10061050000056 20122100000112