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20122122020220 = 223251110162687889
BaseRepresentation
bin1001001001101000010111…
…11011110110010101111100
32122020122201021120220122200
410210310023323312111330
510114140101214121340
6110443550352511500
74144526641043103
oct444641373662574
978218637526580
1020122122020220
116458820330380
12230b975b4b590
13b2c67acc8a6c
144d7cb734303a
1524d6512a3330
hex124d0bef657c

20122122020220 has 72 divisors (see below), whose sum is σ = 66585931055280. Its totient is φ = 4878090186240.

The previous prime is 20122122020191. The next prime is 20122122020227. The reversal of 20122122020220 is 2202022122102.

20122122020220 is a `hidden beast` number, since 2 + 0 + 1 + 221 + 220 + 2 + 0 + 220 = 666.

It is a super-2 number, since 2×201221220202202 (a number of 27 digits) contains 22 as substring.

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 = 20122122020193 and 20122122020202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122122020227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5081341965 + ... + 5081345924.

It is an arithmetic number, because the mean of its divisors is an integer number (924804597990).

Almost surely, 220122122020220 is an apocalyptic number.

20122122020220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122122020220 is an abundant number, since it is smaller than the sum of its proper divisors (46463809035060).

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

20122122020220 is a wasteful number, since it uses less digits than its factorization.

20122122020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10162687915 (or 10162687910 counting only the distinct ones).

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

Adding to 20122122020220 its reverse (2202022122102), we get a palindrome (22324144142322).

The spelling of 20122122020220 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty-two million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 10162687889 20325375778 30488063667 40650751556 50813439445 60976127334 91464191001 101626878890 111789566779 121952254668 152440318335 182928382002 203253757780 223579133558 304880636670 335368700337 365856764004 447158267116 457320955005 558947833895 609761273340 670737400674 914641910010 1006106101011 1117895667790 1341474801348 1676843501685 1829283820020 2012212202022 2235791335580 3353687003370 4024424404044 5030530505055 6707374006740 10061061010110 20122122020220