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20221001012120 = 2359726919373971
BaseRepresentation
bin1001001100100000100011…
…00101010001001110011000
32122121002221022212010212212
410212100101211101032120
510122300102224341440
6111001222152454252
74154630153440316
oct446202145211630
978532838763785
1020221001012120
116496750a024a7
122326b703aa388
13b38aa84b05ac
144dc9b75570b6
15250edbda7465
hex126411951398

20221001012120 has 64 divisors (see below), whose sum is σ = 46137176920800. Its totient is φ = 7975256002560.

The previous prime is 20221001012111. The next prime is 20221001012129. The reversal of 20221001012120 is 2121010012202.

It is an interprime number because it is at equal distance from previous prime (20221001012111) and next prime (20221001012129).

It is a junction number, because it is equal to n+sod(n) for n = 20221001012095 and 20221001012104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221001012129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8643266 + ... + 10730705.

Almost surely, 220221001012120 is an apocalyptic number.

20221001012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221001012120 is an abundant number, since it is smaller than the sum of its proper divisors (25916175908680).

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

20221001012120 is a wasteful number, since it uses less digits than its factorization.

20221001012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19374348 (or 19374344 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20221001012120 its reverse (2121010012202), we get a palindrome (22342011024322).

The spelling of 20221001012120 in words is "twenty trillion, two hundred twenty-one billion, one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 97 194 269 388 485 538 776 970 1076 1345 1940 2152 2690 3880 5380 10760 26093 52186 104372 130465 208744 260930 521860 1043720 19373971 38747942 77495884 96869855 154991768 193739710 387479420 774958840 1879275187 3758550374 5211598199 7517100748 9396375935 10423196398 15034201496 18792751870 20846392796 26057990995 37585503740 41692785592 52115981990 75171007480 104231963980 208463927960 505525025303 1011050050606 2022100101212 2527625126515 4044200202424 5055250253030 10110500506060 20221001012120