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20220001231120 = 2453756929119993
BaseRepresentation
bin1001001100011110101011…
…11111011010000100010000
32122121000100122121000011221
410212033111333122010100
510122241030303343440
6111000535040014424
74154563323441025
oct446172577320420
978530318530157
1020220001231120
116496288619209
122326931601414
13b3897931bcc2
144dc92086554c
15250e7e21ad4a
hex1263d5fda110

20220001231120 has 80 divisors (see below), whose sum is σ = 48283334512560. Its totient is φ = 7869202071552.

The previous prime is 20220001231021. The next prime is 20220001231189. The reversal of 20220001231120 is 2113210002202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3622916332816 + 16597084898304 = 1903396^2 + 4073952^2 .

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 20220001231094 and 20220001231103.

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, 168449844 + ... + 168569836.

It is an arithmetic number, because the mean of its divisors is an integer number (603541681407).

Almost surely, 220220001231120 is an apocalyptic number.

20220001231120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20220001231120 is an abundant number, since it is smaller than the sum of its proper divisors (28063333281440).

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

20220001231120 is a wasteful number, since it uses less digits than its factorization.

20220001231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176972 (or 176966 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20220001231120 its reverse (2113210002202), we get a palindrome (22333211233322).

The spelling of 20220001231120 in words is "twenty trillion, two hundred twenty billion, one million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 56929 113858 119993 227716 239986 284645 455432 479972 569290 599965 910864 959944 1138580 1199930 1919888 2106373 2277160 2399860 4212746 4439741 4554320 4799720 8425492 8879482 9599440 10531865 16850984 17758964 21063730 22198705 33701968 35517928 42127460 44397410 71035856 84254920 88794820 168509840 177589640 355179280 6831081497 13662162994 27324325988 34155407485 54648651976 68310814970 109297303952 136621629940 252750015389 273243259880 505500030778 546486519760 1011000061556 1263750076945 2022000123112 2527500153890 4044000246224 5055000307780 10110000615560 20220001231120