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20220111001220 = 22513227347987313
BaseRepresentation
bin1001001100011110111001…
…00010001001011010000100
32122121000122022010220110012
410212033130202021122010
510122241241404014340
6111000554000445352
74154566125454334
oct446173442113204
978530568126405
1020220111001220
1164963345830a9
122326962319858
13b38995ca3820
144dc93127b0c4
15250e88ba0565
hex1263dc889684

20220111001220 has 96 divisors (see below), whose sum is σ = 46062415905408. Its totient is φ = 7411569518592.

The previous prime is 20220111001157. The next prime is 20220111001271. The reversal of 20220111001220 is 2210011102202.

It is a junction number, because it is equal to n+sod(n) for n = 20220111001195 and 20220111001204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19986284 + ... + 20973596.

It is an arithmetic number, because the mean of its divisors is an integer number (479816832348).

Almost surely, 220220111001220 is an apocalyptic number.

20220111001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20220111001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23031207952704).

20220111001220 is an abundant number, since it is smaller than the sum of its proper divisors (25842304904188).

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

20220111001220 is a wasteful number, since it uses less digits than its factorization.

20220111001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987909 (or 987907 counting only the distinct ones).

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

Adding to 20220111001220 its reverse (2210011102202), we get a palindrome (22430122103422).

The spelling of 20220111001220 in words is "twenty trillion, two hundred twenty billion, one hundred eleven million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 227 260 347 454 694 908 1135 1388 1735 2270 2951 3470 4511 4540 5902 6940 9022 11804 14755 18044 22555 29510 45110 59020 78769 90220 157538 315076 393845 787690 987313 1023997 1575380 1974626 2047994 3949252 4095988 4936565 5119985 9873130 10239970 12835069 19746260 20479940 25670138 51340276 64175345 128350690 224120051 256701380 342597611 448240102 685195222 896480204 1120600255 1370390444 1712988055 2241200510 2913560663 3425976110 4453768943 4482401020 5827121326 6851952220 8907537886 11654242652 14567803315 17815075772 22268844715 29135606630 44537689430 58271213260 77769657697 89075378860 155539315394 311078630788 388848288485 777696576970 1011005550061 1555393153940 2022011100122 4044022200244 5055027750305 10110055500610 20220111001220