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122010002111120 = 24519602913313939
BaseRepresentation
bin11011101111011110101010…
…110101011011101010010000
3121000000001010211100202221112
4123233132222311123222100
5111443002441020023440
61111254342101512452
734461634410216104
oct3357365265335220
9530001124322845
10122010002111120
1135970173441132
1211826432a12728
135310655c3a396
14221b45c071904
15e18b607ab965
hex6ef7aad5ba90

122010002111120 has 80 divisors (see below), whose sum is σ = 298652976504000. Its totient is φ = 46227696920064.

The previous prime is 122010002111119. The next prime is 122010002111149. The reversal of 122010002111120 is 21111200010221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 122010002111095 and 122010002111104.

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, 2507111 + ... + 15821049.

It is an arithmetic number, because the mean of its divisors is an integer number (3733162206300).

Almost surely, 2122010002111120 is an apocalyptic number.

122010002111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122010002111120 is an abundant number, since it is smaller than the sum of its proper divisors (176642974392880).

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

122010002111120 is a wasteful number, since it uses less digits than its factorization.

122010002111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13320000 (or 13319994 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122010002111120 its reverse (21111200010221), we get a palindrome (143121202121341).

The spelling of 122010002111120 in words is "one hundred twenty-two trillion, ten billion, two million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 6029 12058 24116 30145 48232 60290 96464 114551 120580 229102 241160 458204 482320 572755 916408 1145510 1832816 2291020 4582040 9164080 13313939 26627878 53255756 66569695 106511512 133139390 213023024 252964841 266278780 505929682 532557560 1011859364 1065115120 1264824205 2023718728 2529648410 4047437456 5059296820 10118593640 20237187280 80269738231 160539476462 321078952924 401348691155 642157905848 802697382310 1284315811696 1525125026389 1605394764620 3050250052778 3210789529240 6100500105556 6421579058480 7625625131945 12201000211112 15251250263890 24402000422224 30502500527780 61005001055560 122010002111120