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12220222020100 = 22527111315231487
BaseRepresentation
bin1011000111010011110111…
…1111100001101000000100
31121021020112021122211212021
42301310331333201220010
53100204003314120400
641553520440132524
72400611331212233
oct261647577415004
947236467584767
1012220222020100
113991626828006
12145443b767144
136a84923b0713
1430366765ab1a
15162d2186971a
hexb1d3dfe1a04

12220222020100 has 72 divisors (see below), whose sum is σ = 27129351610368. Its totient is φ = 4776594009600.

The previous prime is 12220222020047. The next prime is 12220222020107. The reversal of 12220222020100 is 102022202221.

It is not an unprimeable number, because it can be changed into a prime (12220222020107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6813444 + ... + 8418043.

It is an arithmetic number, because the mean of its divisors is an integer number (376796550144).

Almost surely, 212220222020100 is an apocalyptic number.

12220222020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220222020100 is an abundant number, since it is smaller than the sum of its proper divisors (14909129590268).

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

12220222020100 is a wasteful number, since it uses less digits than its factorization.

12220222020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15231685 (or 15231678 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12220222020100 its reverse (102022202221), we get a palindrome (12322244222321).

The spelling of 12220222020100 in words is "twelve trillion, two hundred twenty billion, two hundred twenty-two million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 113 142 226 284 355 452 565 710 1130 1420 1775 2260 2825 3550 5650 7100 8023 11300 16046 32092 40115 80230 160460 200575 401150 802300 15231487 30462974 60925948 76157435 152314870 304629740 380787175 761574350 1081435577 1523148700 1721158031 2162871154 3442316062 4325742308 5407177885 6884632124 8605790155 10814355770 17211580310 21628711540 27035889425 34423160620 43028950775 54071778850 86057901550 108143557700 122202220201 172115803100 244404440402 488808880804 611011101005 1222022202010 2444044404020 3055055505025 6110111010050 12220222020100