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20122100222120 = 23513472832909281
BaseRepresentation
bin1001001001101000010101…
…01000101100100010101000
32122020122122202120110021122
410210310022220230202220
510114140030124101440
6110443544253354412
74144526254544561
oct444641250544250
978218582513248
1020122100222120
116458809aa2116
12230b96a798a08
13b2c676636090
144d7cb44ab168
1524d64e3e97b5
hex124d0aa2c8a8

20122100222120 has 128 divisors (see below), whose sum is σ = 49970758602240. Its totient is φ = 7245922590720.

The previous prime is 20122100222069. The next prime is 20122100222137. The reversal of 20122100222120 is 2122200122102.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 5461880 + ... + 8371160.

It is an arithmetic number, because the mean of its divisors is an integer number (390396551580).

Almost surely, 220122100222120 is an apocalyptic number.

20122100222120 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 20122100222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24985379301120).

20122100222120 is an abundant number, since it is smaller than the sum of its proper divisors (29848658380120).

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

20122100222120 is a wasteful number, since it uses less digits than its factorization.

20122100222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909635 (or 2909631 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 20122100222120 its reverse (2122200122102), we get a palindrome (22244300344222).

The spelling of 20122100222120 in words is "twenty trillion, one hundred twenty-two billion, one hundred million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 94 104 130 188 235 260 283 376 470 520 566 611 940 1132 1222 1415 1880 2264 2444 2830 3055 3679 4888 5660 6110 7358 11320 12220 13301 14716 18395 24440 26602 29432 36790 53204 66505 73580 106408 133010 147160 172913 266020 345826 532040 691652 864565 1383304 1729130 2909281 3458260 5818562 6916520 11637124 14546405 23274248 29092810 37820653 58185620 75641306 116371240 136736207 151282612 189103265 273472414 302565224 378206530 546944828 683681035 756413060 823326523 1093889656 1367362070 1512826120 1646653046 1777570691 2734724140 3293306092 3555141382 4116632615 5469448280 6586612184 7110282764 8233265230 8887853455 10703244799 14220565528 16466530460 17775706910 21406489598 32933060920 35551413820 38696346581 42812979196 53516223995 71102827640 77392693162 85625958392 107032447990 154785386324 193481732905 214064895980 309570772648 386963465810 428129791960 503052505553 773926931620 1006105011106 1547853863240 2012210022212 2515262527765 4024420044424 5030525055530 10061050111060 20122100222120