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22000100121120 = 2535114166685629
BaseRepresentation
bin1010000000010010011000…
…01001110001101000100000
32212220012002210201000222110
411000021030021301220200
510340422201112333440
6114442412333035320
74430311663365162
oct500111411615040
985805083630873
1022000100121120
11701220aa82350
122573925025b40
13c377a6501a74
14560b4c130932
15282416a3e080
hex14024c271a20

22000100121120 has 96 divisors (see below), whose sum is σ = 75600344070720. Its totient is φ = 5333357603840.

The previous prime is 22000100121113. The next prime is 22000100121133. The reversal of 22000100121120 is 2112100100022.

22000100121120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 22000100121096 and 22000100121105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2083337535 + ... + 2083348094.

It is an arithmetic number, because the mean of its divisors is an integer number (787503584070).

Almost surely, 222000100121120 is an apocalyptic number.

22000100121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22000100121120 is an abundant number, since it is smaller than the sum of its proper divisors (53600243949600).

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

22000100121120 is a wasteful number, since it uses less digits than its factorization.

22000100121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166685658 (or 4166685650 counting only the distinct ones).

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

Adding to 22000100121120 its reverse (2112100100022), we get a palindrome (24112200221142).

The spelling of 22000100121120 in words is "twenty-two trillion, one hundred million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 4166685629 8333371258 12500056887 16666742516 20833428145 25000113774 33333485032 41666856290 45833541919 50000227548 62500284435 66666970064 83333712580 91667083838 100000455096 125000568870 133333940128 137500625757 166667425160 183334167676 200000910192 229167709595 250001137740 275001251514 333334850320 366668335352 400001820384 458335419190 500002275480 550002503028 666669700640 687503128785 733336670704 916670838380 1000004550960 1100005006056 1375006257570 1466673341408 1833341676760 2000009101920 2200010012112 2750012515140 3666683353520 4400020024224 5500025030280 7333366707040 11000050060560 22000100121120