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20122132323120 = 2435471783876979
BaseRepresentation
bin1001001001101000011001…
…00011001001101100110000
32122020122201222222100120120
410210310030203021230300
510114140111333314440
6110443551401410240
74144530124443522
oct444641443115460
978218658870516
1020122132323120
116458826128073
12230b979499980
13b2c680195459
144d7cb8865a12
1524d65213add0
hex124d0c8c9b30

20122132323120 has 80 divisors (see below), whose sum is σ = 63705814709760. Its totient is φ = 5251733823232.

The previous prime is 20122132323109. The next prime is 20122132323179. The reversal of 20122132323120 is 2132323122102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 891927210 + ... + 891949769.

It is an arithmetic number, because the mean of its divisors is an integer number (796322683872).

Almost surely, 220122132323120 is an apocalyptic number.

20122132323120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122132323120 is an abundant number, since it is smaller than the sum of its proper divisors (43583682386640).

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

20122132323120 is a wasteful number, since it uses less digits than its factorization.

20122132323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783877042 (or 1783877036 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20122132323120 its reverse (2132323122102), we get a palindrome (22254455445222).

The spelling of 20122132323120 in words is "twenty trillion, one hundred twenty-two billion, one hundred thirty-two million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 5640 11280 1783876979 3567753958 5351630937 7135507916 8919384895 10703261874 14271015832 17838769790 21406523748 26758154685 28542031664 35677539580 42813047496 53516309370 71355079160 83842218013 85626094992 107032618740 142710158320 167684436026 214065237480 251526654039 335368872052 419211090065 428130474960 503053308078 670737744104 838422180130 1006106616156 1257633270195 1341475488208 1676844360260 2012213232312 2515266540390 3353688720520 4024426464624 5030533080780 6707377441040 10061066161560 20122132323120