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21222110212000 = 255323230675111
BaseRepresentation
bin1001101001101001010000…
…10101110010111110100000
32210010210222100102202112221
410310310220111302332200
510240200340203241000
6113045145225200424
74320150450310255
oct464645025627640
983123870382487
1021222110212000
116842278a56705
122468ba1930114
13bac30c4cb409
1453522701542c
1526c080bc061a
hex134d28572fa0

21222110212000 has 96 divisors (see below), whose sum is σ = 54409800017664. Its totient is φ = 8119763872000.

The previous prime is 21222110211949. The next prime is 21222110212001. The reversal of 21222110212000 is 21201122212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (21222110212001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115245556 + ... + 115429555.

It is an arithmetic number, because the mean of its divisors is an integer number (566768750184).

Almost surely, 221222110212000 is an apocalyptic number.

21222110212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222110212000 is an abundant number, since it is smaller than the sum of its proper divisors (33187689805664).

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

21222110212000 is a wasteful number, since it uses less digits than its factorization.

21222110212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230675159 (or 230675141 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21222110212000 its reverse (21201122212), we get a palindrome (21243311334212).

The spelling of 21222110212000 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred ten million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 736 800 920 1000 1150 1840 2000 2300 2875 3680 4000 4600 5750 9200 11500 18400 23000 46000 92000 230675111 461350222 922700444 1153375555 1845400888 2306751110 3690801776 4613502220 5305527553 5766877775 7381603552 9227004440 10611055106 11533755550 18454008880 21222110212 23067511100 26527637765 28834388875 36908017760 42444220424 46135022200 53055275530 57668777750 84888440848 92270044400 106110551060 115337555500 132638188825 169776881696 184540088800 212221102120 230675111000 265276377650 424442204240 461350222000 530552755300 663190944125 848884408480 922700444000 1061105510600 1326381888250 2122211021200 2652763776500 4244422042400 5305527553000 10611055106000 21222110212000