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21222121000020 = 22355211213559679
BaseRepresentation
bin1001101001101001010001…
…11110111100110001010100
32210010211000002201211221020
410310310220332330301110
510240200400434000040
6113045150252321140
74320150641101233
oct464645076746124
983124002654836
1021222121000020
116842284054926
122468ba54731b0
13bac311807865
14535228622b1a
1526c081b01cd0
hex134d28fbcc54

21222121000020 has 96 divisors (see below), whose sum is σ = 59585180497920. Its totient is φ = 5643703403520.

The previous prime is 21222120999971. The next prime is 21222121000021. The reversal of 21222121000020 is 2000012122212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222121000021) 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 31 ways as a sum of consecutive naturals, for example, 37638541 + ... + 38198219.

It is an arithmetic number, because the mean of its divisors is an integer number (620678963520).

Almost surely, 221222121000020 is an apocalyptic number.

21222121000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222121000020 is an abundant number, since it is smaller than the sum of its proper divisors (38363059497900).

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

21222121000020 is a wasteful number, since it uses less digits than its factorization.

21222121000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561425 (or 561423 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21222121000020 its reverse (2000012122212), we get a palindrome (23222133122232).

The spelling of 21222121000020 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 521 1042 1213 1563 2084 2426 2605 3126 3639 4852 5210 6065 6252 7278 7815 10420 12130 14556 15630 18195 24260 31260 36390 72780 559679 631973 1119358 1263946 1679037 1895919 2238716 2527892 2798395 3159865 3358074 3791838 5596790 6319730 6716148 7583676 8395185 9479595 11193580 12639460 16790370 18959190 33580740 37918380 291592759 583185518 678890627 874778277 1166371036 1357781254 1457963795 1749556554 2036671881 2715562508 2915927590 3394453135 3499113108 4073343762 4373891385 5831855180 6788906270 8146687524 8747782770 10183359405 13577812540 17495565540 20366718810 40733437620 353702016667 707404033334 1061106050001 1414808066668 1768510083335 2122212100002 3537020166670 4244424200004 5305530250005 7074040333340 10611060500010 21222121000020