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122121220220120 = 23511232524665837
BaseRepresentation
bin11011110001000110001111…
…111100110110010011011000
3121000101200012210212002201202
4123301012033330312103120
5112001313224334020440
61111421414123533332
734502652452436542
oct3361061774662330
9530350183762652
10122121220220120
1135a033561365a0
1211843ab168a248
13531ac9b8cc234
1422229acd3a692
15e1b9be7ba615
hex6f118ff364d8

122121220220120 has 96 divisors (see below), whose sum is σ = 313351425087120. Its totient is φ = 42476946082560.

The previous prime is 122121220220093. The next prime is 122121220220171. The reversal of 122121220220120 is 21022022121221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122121220220092 and 122121220220101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262100159 + ... + 262565678.

Almost surely, 2122121220220120 is an apocalyptic number.

122121220220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121220220120 is an abundant number, since it is smaller than the sum of its proper divisors (191230204867000).

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

122121220220120 is a wasteful number, since it uses less digits than its factorization.

122121220220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524665905 (or 524665878 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122121220220120 its reverse (21022022121221), we get a palindrome (143143242341341).

The spelling of 122121220220120 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred twenty million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 529 920 1012 1058 1265 2024 2116 2530 2645 4232 5060 5290 5819 10120 10580 11638 21160 23276 29095 46552 58190 116380 232760 524665837 1049331674 2098663348 2623329185 4197326696 5246658370 5771324207 10493316740 11542648414 12067314251 20986633480 23085296828 24134628502 28856621035 46170593656 48269257004 57713242070 60336571255 96538514008 115426484140 120673142510 132740456761 230852968280 241346285020 265480913522 277548227773 482692570040 530961827044 555096455546 663702283805 1061923654088 1110192911092 1327404567610 1387741138865 2220385822184 2654809135220 2775482277730 3053030505503 5309618270440 5550964555460 6106061011006 11101929110920 12212122022012 15265152527515 24424244044024 30530305055030 61060610110060 122121220220120