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21222010022112 = 2532266327670873
BaseRepresentation
bin1001101001101001000100…
…10111100110100011100000
32210010210201100220120212100
410310310202113212203200
510240200134031201422
6113045131245530400
74320145122564414
oct464644227464340
983123640816770
1021222010022112
116842227445549
122468b74273a00
13bac2c481c363
145352179b4d44
1526c076ece7ac
hex134d225e68e0

21222010022112 has 72 divisors (see below), whose sum is σ = 60372755627184. Its totient is φ = 7071346681344.

The previous prime is 21222010022111. The next prime is 21222010022231. The reversal of 21222010022112 is 21122001022212.

It is a happy number.

21222010022112 is a `hidden beast` number, since 212 + 220 + 1 + 0 + 0 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222010022111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13068493 + ... + 14602380.

It is an arithmetic number, because the mean of its divisors is an integer number (838510494822).

Almost surely, 221222010022112 is an apocalyptic number.

It is an amenable number.

21222010022112 is an abundant number, since it is smaller than the sum of its proper divisors (39150745605072).

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

21222010022112 is a wasteful number, since it uses less digits than its factorization.

21222010022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27673552 (or 27673541 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21222010022112 its reverse (21122001022212), we get a palindrome (42344011044324).

It can be divided in two parts, 212220100 and 22112, that added together give a palindrome (212242212).

The spelling of 21222010022112 in words is "twenty-one trillion, two hundred twenty-two billion, ten million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2663 5326 7989 10652 15978 21304 23967 31956 42608 47934 63912 85216 95868 127824 191736 255648 383472 766944 27670873 55341746 83012619 110683492 166025238 221366984 249037857 332050476 442733968 498075714 664100952 885467936 996151428 1328201904 1992302856 2656403808 3984605712 7969211424 73687534799 147375069598 221062604397 294750139196 442125208794 589500278392 663187813191 884250417588 1179000556784 1326375626382 1768500835176 2358001113568 2652751252764 3537001670352 5305502505528 7074003340704 10611005011056 21222010022112