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122002313220 = 2232517192098423
BaseRepresentation
bin111000110011111100…
…1111001000000000100
3102122220112212122212100
41301213321321000010
53444330043010340
6132014100552100
711546221360164
oct1614771710004
9378815778770
10122002313220
1147817141737
121b78a3b2630
13b673c915a8
145c952445a4
153290b73830
hex1c67e79004

122002313220 has 144 divisors (see below), whose sum is σ = 412466221440. Its totient is φ = 29008585728.

The previous prime is 122002313183. The next prime is 122002313231. The reversal of 122002313220 is 22313200221.

122002313220 is a `hidden beast` number, since 12 + 200 + 231 + 3 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122002313193 and 122002313202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 991072 + ... + 1107351.

It is an arithmetic number, because the mean of its divisors is an integer number (2864348760).

Almost surely, 2122002313220 is an apocalyptic number.

122002313220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122002313220 is an abundant number, since it is smaller than the sum of its proper divisors (290463908220).

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

122002313220 is a wasteful number, since it uses less digits than its factorization.

122002313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098474 (or 2098469 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122002313220 its reverse (22313200221), we get a palindrome (144315513441).

The spelling of 122002313220 in words is "one hundred twenty-two billion, two million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 19 20 30 34 36 38 45 51 57 60 68 76 85 90 95 102 114 153 170 171 180 190 204 228 255 285 306 323 340 342 380 510 570 612 646 684 765 855 969 1020 1140 1292 1530 1615 1710 1938 2907 3060 3230 3420 3876 4845 5814 6460 9690 11628 14535 19380 29070 58140 2098423 4196846 6295269 8393692 10492115 12590538 18885807 20984230 25181076 31476345 35673191 37771614 39870037 41968460 62952690 71346382 75543228 79740074 94429035 107019573 119610111 125905380 142692764 159480148 178365955 188858070 199350185 214039146 239220222 321058719 356731910 358830333 377716140 398700370 428078292 478440444 535097865 598050555 642117438 677790629 713463820 717660666 797400740 1070195730 1196101110 1284234876 1355581258 1435321332 1605293595 1794151665 2033371887 2140391460 2392202220 2711162516 3210587190 3388953145 3588303330 4066743774 6100115661 6421174380 6777906290 7176606660 8133487548 10166859435 12200231322 13555812580 20333718870 24400462644 30500578305 40667437740 61001156610 122002313220