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20121223220021 = 7112961373396029
BaseRepresentation
bin1001001001100110101100…
…10111001100101100110101
32122020120101122100010120102
410210303112113030230311
510114131231121020041
6110443321244243445
74144465445262260
oct444632627145465
978216348303512
1020121223220021
1164583a9a484a0
12230b764b40585
13b2c566a32521
144d7c2dc19cd7
1524d5ec41209b
hex124cd65ccb35

20121223220021 has 64 divisors (see below), whose sum is σ = 26447453683200. Its totient is φ = 14850099532800.

The previous prime is 20121223220017. The next prime is 20121223220023. The reversal of 20121223220021 is 12002232212102.

It is not a de Polignac number, because 20121223220021 - 22 = 20121223220017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20121223219975 and 20121223220002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121223220023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50609435 + ... + 51005463.

It is an arithmetic number, because the mean of its divisors is an integer number (413241463800).

Almost surely, 220121223220021 is an apocalyptic number.

It is an amenable number.

20121223220021 is a deficient number, since it is larger than the sum of its proper divisors (6326230463179).

20121223220021 is a wasteful number, since it uses less digits than its factorization.

20121223220021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396510.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20121223220021 its reverse (12002232212102), we get a palindrome (32123455432123).

The spelling of 20121223220021 in words is "twenty trillion, one hundred twenty-one billion, two hundred twenty-three million, two hundred twenty thousand, twenty-one".

Divisors: 1 7 11 29 61 77 203 319 373 427 671 1769 2233 2611 4103 4697 10817 12383 19459 22753 28721 75719 118987 136213 159271 250283 396029 659837 832909 1751981 2772203 4356319 4618859 7258207 11484841 24157769 30494233 50807449 80393887 126333251 147718817 169104383 265735459 700575301 884332757 1034031719 1624906987 1860148213 4283845693 4904027107 7706328311 9010847837 11374348909 29986919851 47122302623 53944298177 63075934859 99119326207 261314587273 329856118361 693835283449 1829202110911 2874460460003 20121223220021