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122121210204 = 223272193643669
BaseRepresentation
bin111000110111011111…
…1011100100101011100
3102200012211121020212100
41301232333130211130
54000101012211304
6132033545205100
711552164105500
oct1615677344534
9380184536770
10122121210204
114787826a804
121b802190790
13b6927c0436
145ca6d54300
15329b30c439
hex1c6efdc95c

122121210204 has 108 divisors (see below), whose sum is σ = 377994325800. Its totient is φ = 33055356096.

The previous prime is 122121210191. The next prime is 122121210221. The reversal of 122121210204 is 402012121221.

122121210204 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1788319 + ... + 1855350.

Almost surely, 2122121210204 is an apocalyptic number.

122121210204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122121210204 is an abundant number, since it is smaller than the sum of its proper divisors (255873115596).

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

122121210204 is a wasteful number, since it uses less digits than its factorization.

122121210204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643712 (or 3643700 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122121210204 its reverse (402012121221), we get a palindrome (524133331425).

The spelling of 122121210204 in words is "one hundred twenty-two billion, one hundred twenty-one million, two hundred ten thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 49 57 63 76 84 98 114 126 133 147 171 196 228 252 266 294 342 399 441 532 588 684 798 882 931 1197 1596 1764 1862 2394 2793 3724 4788 5586 8379 11172 16758 33516 3643669 7287338 10931007 14574676 21862014 25505683 32793021 43724028 51011366 65586042 69229711 76517049 102022732 131172084 138459422 153034098 178539781 207689133 229551147 276918844 306068196 357079562 415378266 459102294 484607977 535619343 623067399 714159124 830756532 918204588 969215954 1071238686 1246134798 1453823931 1606858029 1938431908 2142477372 2492269596 2907647862 3213716058 3392255839 4361471793 5815295724 6427432116 6784511678 8722943586 10176767517 13569023356 17445887172 20353535034 30530302551 40707070068 61060605102 122121210204