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20122301120 = 265197614349
BaseRepresentation
bin10010101111011000…
…011111001011000000
31220221100122210211212
4102233120133023000
5312202302113440
613124414425252
71311435510635
oct225730371300
956840583755
1020122301120
118596572729
123a96b02228
131b88b2906c
14d8c64018c
157cb878465
hex4af61f2c0

20122301120 has 112 divisors (see below), whose sum is σ = 50516028000. Its totient is φ = 7613521920.

The previous prime is 20122301083. The next prime is 20122301179. The reversal of 20122301120 is 2110322102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20122301095 and 20122301104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4624706 + ... + 4629054.

Almost surely, 220122301120 is an apocalyptic number.

20122301120 is a gapful number since it is divisible by the number (20) 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 20122301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25258014000).

20122301120 is an abundant number, since it is smaller than the sum of its proper divisors (30393726880).

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

20122301120 is a wasteful number, since it uses less digits than its factorization.

20122301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5146 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20122301120 its reverse (2110322102), we get a palindrome (22232623222).

The spelling of 20122301120 in words is "twenty billion, one hundred twenty-two million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 761 1216 1520 1522 3040 3044 3805 4349 6080 6088 7610 8698 12176 14459 15220 17396 21745 24352 28918 30440 34792 43490 48704 57836 60880 69584 72295 82631 86980 115672 121760 139168 144590 165262 173960 231344 243520 278336 289180 330524 347920 413155 462688 578360 661048 695840 826310 925376 1156720 1322096 1391680 1652620 2313440 2644192 3305240 3309589 4626880 5288384 6610480 6619178 13220960 13238356 16547945 26441920 26476712 33095890 52953424 62882191 66191780 105906848 125764382 132383560 211813696 251528764 264767120 314410955 503057528 529534240 628821910 1006115056 1059068480 1257643820 2012230112 2515287640 4024460224 5030575280 10061150560 20122301120