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121122220110 = 235196719316433
BaseRepresentation
bin111000011001101110…
…0100110100001001110
3102120122012211022002020
41300303130212201032
53441024242020420
6131350501311010
711515343612103
oct1606334464116
9376565738066
10121122220110
1147405376761
121b583705466
13b563847b38
145c103caaaa
15323d77a340
hex1c3372684e

121122220110 has 128 divisors (see below), whose sum is σ = 312188152320. Its totient is φ = 29984587776.

The previous prime is 121122220073. The next prime is 121122220147. The reversal of 121122220110 is 11022221121.

It is an interprime number because it is at equal distance from previous prime (121122220073) and next prime (121122220147).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121122220110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7362454 + ... + 7378886.

It is an arithmetic number, because the mean of its divisors is an integer number (2438969940).

Almost surely, 2121122220110 is an apocalyptic number.

121122220110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121122220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156094076160).

121122220110 is an abundant number, since it is smaller than the sum of its proper divisors (191065932210).

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

121122220110 is a wasteful number, since it uses less digits than its factorization.

121122220110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16722.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121122220110 its reverse (11022221121), we get a palindrome (132144441231).

The spelling of 121122220110 in words is "one hundred twenty-one billion, one hundred twenty-two million, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 67 95 114 134 190 193 201 285 335 386 402 570 579 670 965 1005 1158 1273 1930 2010 2546 2895 3667 3819 5790 6365 7334 7638 11001 12730 12931 16433 18335 19095 22002 25862 32866 36670 38190 38793 49299 55005 64655 77586 82165 98598 110010 129310 164330 193965 245689 246495 312227 387930 491378 492990 624454 737067 936681 1101011 1228445 1474134 1561135 1873362 2202022 2456890 3122270 3171569 3303033 3685335 4683405 5505055 6343138 6606066 7370670 9366810 9514707 11010110 15857845 16515165 19029414 20919209 31715690 33030330 41838418 47573535 60259811 62757627 95147070 104596045 120519622 125515254 180779433 209192090 212495123 301299055 313788135 361558866 424990246 602598110 627576270 637485369 903897165 1062475615 1274970738 1807794330 2124951230 3187426845 4037407337 6374853690 8074814674 12112222011 20187036685 24224444022 40374073370 60561110055 121122220110