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122010120020200 = 235211353201101477
BaseRepresentation
bin11011101111011110110001…
…110111001110000011101000
3121000000001110001020011210111
4123233132301313032003220
5111443003211211121300
61111254401513024104
734461640341351256
oct3357366167160350
9530001401204714
10122010120020200
1135970223a54a55
12118264663b5034
1353106744b1679
14221b46d9a55d6
15e18b6acec9ba
hex6ef7b1dce0e8

122010120020200 has 96 divisors (see below), whose sum is σ = 286192113793560. Its totient is φ = 48370767872000.

The previous prime is 122010120020183. The next prime is 122010120020227. The reversal of 122010120020200 is 2020021010221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 150554864196 + 121859565156004 = 388014^2 + 11039002^2 .

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, 1202291862 + ... + 1202393338.

Almost surely, 2122010120020200 is an apocalyptic number.

122010120020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122010120020200 is an abundant number, since it is smaller than the sum of its proper divisors (164181993773360).

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

122010120020200 is a wasteful number, since it uses less digits than its factorization.

122010120020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154807 (or 154798 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122010120020200 its reverse (2020021010221), we get a palindrome (124030141030421).

The spelling of 122010120020200 in words is "one hundred twenty-two trillion, ten billion, one hundred twenty million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2825 4520 5650 11300 22600 53201 101477 106402 202954 212804 266005 405908 425608 507385 532010 811816 1014770 1064020 1330025 2029540 2128040 2536925 2660050 4059080 5073850 5320100 6011713 10147700 10640200 11466901 12023426 20295400 22933802 24046852 30058565 45867604 48093704 57334505 60117130 91735208 114669010 120234260 150292825 229338020 240468520 286672525 300585650 458676040 573345050 601171300 1146690100 1202342600 2293380200 5398677877 10797355754 21594711508 26993389385 43189423016 53986778770 107973557540 134966946925 215947115080 269933893850 539867787700 610050600101 1079735575400 1220101200202 2440202400404 3050253000505 4880404800808 6100506001010 12201012002020 15251265002525 24402024004040 30502530005050 61005060010100 122010120020200