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122010010200 = 233252135214103
BaseRepresentation
bin111000110100001011…
…1010000001001011000
3102122221002100201010200
41301220113100021120
53444334030311300
6132014533542200
711546343655311
oct1615027201130
9378832321120
10122010010200
1147820519581
121b790aa4960
13b675757b10
145c96289608
153291694200
hex1c685d0258

122010010200 has 144 divisors (see below), whose sum is σ = 441269621520. Its totient is φ = 30033227520.

The previous prime is 122010010193. The next prime is 122010010207. The reversal of 122010010200 is 2010010221.

It is an interprime number because it is at equal distance from previous prime (122010010193) and next prime (122010010207).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122010010207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2583652 + ... + 2630451.

Almost surely, 2122010010200 is an apocalyptic number.

122010010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122010010200 is an abundant number, since it is smaller than the sum of its proper divisors (319259611320).

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

122010010200 is a wasteful number, since it uses less digits than its factorization.

122010010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5214138 (or 5214126 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 122010010200 its reverse (2010010221), we get a palindrome (124020020421).

The spelling of 122010010200 in words is "one hundred twenty-two billion, ten million, ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2925 3900 4680 5850 7800 11700 23400 5214103 10428206 15642309 20856412 26070515 31284618 41712824 46926927 52141030 62569236 67783339 78211545 93853854 104282060 125138472 130352575 135566678 156423090 187707708 203350017 208564120 234634635 260705150 271133356 312846180 338916695 375415416 391057725 406700034 469269270 521410300 542266712 610050051 625692360 677833390 782115450 813400068 938538540 1016750085 1042820600 1173173175 1220100102 1355666780 1564230900 1626800136 1694583475 1877077080 2033500170 2346346350 2440200204 2711333560 3050250255 3128461800 3389166950 4067000340 4692692700 4880400408 5083750425 6100500510 6778333900 8134000680 9385385400 10167500850 12201001020 13556667800 15251251275 20335001700 24402002040 30502502550 40670003400 61005005100 122010010200