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122122220201112 = 233374321115157613
BaseRepresentation
bin11011110001000111001011…
…100011011110010010011000
3121000101202210111111101202210
4123301013023203132102120
5112001322301332413422
61111422101244555120
734503016314231165
oct3361071343362230
9530352714441683
10122122220201112
1135a0381964706a
1211844130552aa0
13531b0cab30871
142222a65a8106c
15e1ba2c49610c
hex6f11cb8de498

122122220201112 has 128 divisors (see below), whose sum is σ = 322369709333760. Its totient is φ = 38502759697920.

The previous prime is 122122220201077. The next prime is 122122220201153. The reversal of 122122220201112 is 211102022221221.

122122220201112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478018 + ... + 15635630.

It is an arithmetic number, because the mean of its divisors is an integer number (2518513354170).

Almost surely, 2122122220201112 is an apocalyptic number.

122122220201112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122122220201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161184854666880).

122122220201112 is an abundant number, since it is smaller than the sum of its proper divisors (200247489132648).

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

122122220201112 is a wasteful number, since it uses less digits than its factorization.

122122220201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15157913 (or 15157909 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 122122220201112 its reverse (211102022221221), we get a palindrome (333224242422333).

The spelling of 122122220201112 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, two hundred twenty million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 43 74 86 111 129 148 172 211 222 258 296 344 422 444 516 633 844 888 1032 1266 1591 1688 2532 3182 4773 5064 6364 7807 9073 9546 12728 15614 18146 19092 23421 27219 31228 36292 38184 46842 54438 62456 72584 93684 108876 187368 217752 335701 671402 1007103 1342804 2014206 2685608 4028412 8056824 15157613 30315226 45472839 60630452 90945678 121260904 181891356 363782712 560831681 651777359 1121663362 1303554718 1682495043 1955332077 2243326724 2607109436 3198256343 3364990086 3910664154 4486653448 5214218872 6396512686 6729980172 7821328308 9594769029 12793025372 13459960344 15642656616 19189538058 24115762283 25586050744 38379076116 48231524566 72347286849 76758152232 96463049132 118335484691 137525022749 144694573698 192926098264 236670969382 275050045498 289389147396 355006454073 412575068247 473341938764 550100090996 578778294792 710012908146 825150136494 946683877528 1100200181992 1420025816292 1650300272988 2840051632584 3300600545976 5088425841713 10176851683426 15265277525139 20353703366852 30530555050278 40707406733704 61061110100556 122122220201112