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20122222122 = 23343101239359
BaseRepresentation
bin10010101111011000…
…001011111000101010
31220221100111210111000
4102233120023320222
5312202242101442
613124413015430
71311435031422
oct225730137052
956840453430
1020122222122
118596519342
123a96a84576
131b88acc112
14d8c61d482
157cb85ed4c
hex4af60be2a

20122222122 has 128 divisors (see below), whose sum is σ = 46531584000. Its totient is φ = 6441422400.

The previous prime is 20122222111. The next prime is 20122222123. The reversal of 20122222122 is 22122222102.

20122222122 is a `hidden beast` number, since 201 + 222 + 221 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20122222095 and 20122222104.

It is not an unprimeable number, because it can be changed into a prime (20122222123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56050579 + ... + 56050937.

It is an arithmetic number, because the mean of its divisors is an integer number (363528000).

Almost surely, 220122222122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23265792000).

20122222122 is an abundant number, since it is smaller than the sum of its proper divisors (26409361878).

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

20122222122 is a wasteful number, since it uses less digits than its factorization.

20122222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20122222122 its reverse (22122222102), we get a palindrome (42244444224).

The spelling of 20122222122 in words is "twenty billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 43 54 86 101 129 202 239 258 303 359 387 478 606 717 718 774 909 1077 1161 1434 1818 2151 2154 2322 2727 3231 4302 4343 5454 6453 6462 8686 9693 10277 12906 13029 15437 19386 20554 24139 26058 30831 30874 36259 39087 46311 48278 61662 72417 72518 78174 85801 92493 92622 108777 117261 138933 144834 171602 184986 217251 217554 234522 257403 277479 277866 326331 416799 434502 514806 554958 651753 652662 772209 833598 978993 1037977 1303506 1544418 1559137 1957986 2075954 2316627 3113931 3118274 3689443 4633254 4677411 6227862 7378886 8665901 9341793 9354822 11068329 14032233 17331802 18683586 22136658 25997703 28025379 28064466 33204987 42096699 51995406 56050758 66409974 77993109 84193398 99614961 155986218 199229922 233979327 372633743 467958654 745267486 1117901229 2235802458 3353703687 6707407374 10061111061 20122222122