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122100102020120 = 23571725651281937
BaseRepresentation
bin11011110000110010100101…
…001101010011110000011000
3121000022122201001020101110012
4123300302211031103300120
5112000442002104120440
61111404002411341052
734501304231625410
oct3360624515236030
9530278631211405
10122100102020120
11359a53a94a1344
121183b999151788
135318cb46708c3
142221968339640
15e1b1857c0e65
hex6f0ca5353c18

122100102020120 has 64 divisors (see below), whose sum is σ = 332440613916480. Its totient is φ = 39400369053696.

The previous prime is 122100102020111. The next prime is 122100102020147. The reversal of 122100102020120 is 21020201001221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 122100102020095 and 122100102020104.

It is a congruent number.

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, 12825636209 + ... + 12825645728.

It is an arithmetic number, because the mean of its divisors is an integer number (5194384592445).

Almost surely, 2122100102020120 is an apocalyptic number.

122100102020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100102020120 is an abundant number, since it is smaller than the sum of its proper divisors (210340511896360).

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

122100102020120 is a wasteful number, since it uses less digits than its factorization.

122100102020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25651281972 (or 25651281968 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122100102020120 its reverse (21020201001221), we get a palindrome (143120303021341).

The spelling of 122100102020120 in words is "one hundred twenty-two trillion, one hundred billion, one hundred two million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 25651281937 51302563874 102605127748 128256409685 179558973559 205210255496 256512819370 359117947118 436071792929 513025638740 718235894236 872143585858 897794867795 1026051277480 1436471788472 1744287171716 1795589735590 2180358964645 3052502550503 3488574343432 3591179471180 4360717929290 6105005101006 7182358942360 8721435858580 12210010202012 15262512752515 17442871717160 24420020404024 30525025505030 61050051010060 122100102020120