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20122101003120 = 2435791061292247
BaseRepresentation
bin1001001001101000010101…
…01011101011001101110000
32122020122122211001010121120
410210310022223223031300
510114140030324044440
6110443544322222240
74144526264306544
oct444641253531560
978218584033546
1020122101003120
11645880a485976
12230b96aab4980
13b2c67684a6cc
144d7cb4631a24
1524d64e500dd0
hex124d0aaeb370

20122101003120 has 80 divisors (see below), whose sum is σ = 63168114600960. Its totient is φ = 5297970892032.

The previous prime is 20122101003107. The next prime is 20122101003139. The reversal of 20122101003120 is 2130010122102.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20122101003120.

It is a congruent number.

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, 530627164 + ... + 530665083.

It is an arithmetic number, because the mean of its divisors is an integer number (789601432512).

Almost surely, 220122101003120 is an apocalyptic number.

20122101003120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122101003120 is an abundant number, since it is smaller than the sum of its proper divisors (43046013597840).

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

20122101003120 is a wasteful number, since it uses less digits than its factorization.

20122101003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061292342 (or 1061292336 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20122101003120 its reverse (2130010122102), we get a palindrome (22252111125222).

The spelling of 20122101003120 in words is "twenty trillion, one hundred twenty-two billion, one hundred one million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1580 1896 2370 3160 3792 4740 6320 9480 18960 1061292247 2122584494 3183876741 4245168988 5306461235 6367753482 8490337976 10612922470 12735506964 15919383705 16980675952 21225844940 25471013928 31838767410 42451689880 50942027856 63677534820 83842087513 84903379760 127355069640 167684175026 251526262539 254710139280 335368350052 419210437565 503052525078 670736700104 838420875130 1006105050156 1257631312695 1341473400208 1676841750260 2012210100312 2515262625390 3353683500520 4024420200624 5030525250780 6707367001040 10061050501560 20122101003120