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122010201120 = 25351385918341
BaseRepresentation
bin111000110100001011…
…1111110110000100000
3102122221002201102000210
41301220113332300200
53444334102413440
6132014542014120
711546345412033
oct1615027766040
9378832642023
10122010201120
1147820639a65
121b790b77340
13b6757c39a2
145c962d901a
1532916d0a80
hex1c685fec20

122010201120 has 96 divisors (see below), whose sum is σ = 384380821440. Its totient is φ = 32531932160.

The previous prime is 122010201113. The next prime is 122010201133. The reversal of 122010201120 is 21102010221.

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 = 122010201096 and 122010201105.

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, 6643150 + ... + 6661490.

It is an arithmetic number, because the mean of its divisors is an integer number (4003966890).

Almost surely, 2122010201120 is an apocalyptic number.

122010201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122010201120 is an abundant number, since it is smaller than the sum of its proper divisors (262370620320).

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

122010201120 is a wasteful number, since it uses less digits than its factorization.

122010201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32218 (or 32210 counting only the distinct ones).

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

Adding to 122010201120 its reverse (21102010221), we get a palindrome (143112211341).

The spelling of 122010201120 in words is "one hundred twenty-two billion, ten million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 13859 18341 27718 36682 41577 55023 55436 69295 73364 83154 91705 110046 110872 138590 146728 166308 183410 207885 220092 221744 275115 277180 293456 332616 366820 415770 440184 443488 550230 554360 586912 665232 733640 831540 880368 1100460 1108720 1330464 1467280 1663080 1760736 2200920 2217440 2934560 3326160 4401840 6652320 8803680 254187919 508375838 762563757 1016751676 1270939595 1525127514 2033503352 2541879190 3050255028 3812818785 4067006704 5083758380 6100510056 7625637570 8134013408 10167516760 12201020112 15251275140 20335033520 24402040224 30502550280 40670067040 61005100560 122010201120