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122020121101120 = 2651134664807131
BaseRepresentation
bin11011101111101000000101…
…111110010100001101000000
3121000001000021001000201122221
4123233220011332110031000
5111443134202000213440
61111303134134540424
734462443231214504
oct3357500576241500
9530030231021587
10122020121101120
1135974496338090
1211828397807714
1353115a9489b28
14221bb3bd2a304
15e19053d20d4a
hex6efa05f94340

122020121101120 has 56 divisors (see below), whose sum is σ = 316974996415008. Its totient is φ = 44370953126400.

The previous prime is 122020121101111. The next prime is 122020121101139. The reversal of 122020121101120 is 21101121020221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 122020121101094 and 122020121101103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17332400046 + ... + 17332407085.

Almost surely, 2122020121101120 is an apocalyptic number.

122020121101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122020121101120 is an abundant number, since it is smaller than the sum of its proper divisors (194954875313888).

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

122020121101120 is a wasteful number, since it uses less digits than its factorization.

122020121101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34664807159 (or 34664807149 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122020121101120 its reverse (21101121020221), we get a palindrome (143121242121341).

The spelling of 122020121101120 in words is "one hundred twenty-two trillion, twenty billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 34664807131 69329614262 138659228524 173324035655 277318457048 346648071310 381312878441 554636914096 693296142620 762625756882 1109273828192 1386592285240 1525251513764 1906564392205 2218547656384 2773184570480 3050503027528 3813128784410 5546369140960 6101006055056 7626257568820 11092738281920 12202012110112 15252515137640 24404024220224 30505030275280 61010060550560 122020121101120