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122102020102200 = 23352307636615199
BaseRepresentation
bin11011110000110100010111…
…100010001101100000111000
3121000022211122201110001102020
4123300310113202031200320
5112001004414121232300
61111404521010434440
734501402612225425
oct3360642742154070
9530284581401366
10122102020102200
11359a61a3177846
1211840233592a20
13531922bb65908
142221aaad8cd4c
15e1b248da18a0
hex6f0d1788d838

122102020102200 has 96 divisors (see below), whose sum is σ = 378528623808000. Its totient is φ = 32559475340160.

The previous prime is 122102020102187. The next prime is 122102020102219. The reversal of 122102020102200 is 2201020201221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122102020102200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15150201 + ... + 21765399.

It is an arithmetic number, because the mean of its divisors is an integer number (3943006498000).

Almost surely, 2122102020102200 is an apocalyptic number.

122102020102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102020102200 is an abundant number, since it is smaller than the sum of its proper divisors (256426603705800).

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

122102020102200 is a wasteful number, since it uses less digits than its factorization.

122102020102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6645981 (or 6645972 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122102020102200 its reverse (2201020201221), we get a palindrome (124303040303421).

The spelling of 122102020102200 in words is "one hundred twenty-two trillion, one hundred two billion, twenty million, one hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 30763 61526 92289 123052 153815 184578 246104 307630 369156 461445 615260 738312 769075 922890 1230520 1538150 1845780 2307225 3076300 3691560 4614450 6152600 6615199 9228900 13230398 18457800 19845597 26460796 33075995 39691194 52921592 66151990 79382388 99227985 132303980 158764776 165379975 198455970 264607960 330759950 396911940 496139925 661519900 793823880 992279850 1323039800 1984559700 3969119400 203503366837 407006733674 610510100511 814013467348 1017516834185 1221020201022 1628026934696 2035033668370 2442040402044 3052550502555 4070067336740 4884080804088 5087584170925 6105101005110 8140134673480 10175168341850 12210202010220 15262752512775 20350336683700 24420404020440 30525505025550 40700673367400 61051010051100 122102020102200