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21221011122012 = 22321323488003143
BaseRepresentation
bin1001101001100111001101…
…10101000110011101011100
32210010201010202022012112100
410310303212311012131130
510240141112321401022
6113044444204005100
74320111303224262
oct464634665063534
983121122265470
1021221011122012
116841864603079
122468935830790
13bac1958a8a00
14535161072432
1526c0194691ac
hex134ce6d4675c

21221011122012 has 54 divisors (see below), whose sum is σ = 58085716357032. Its totient is φ = 6529541881824.

The previous prime is 21221011121993. The next prime is 21221011122019. The reversal of 21221011122012 is 21022111012212.

21221011122012 is a `hidden beast` number, since 212 + 210 + 1 + 11 + 220 + 12 = 666.

It is a super-3 number, since 3×212210111220123 (a number of 41 digits) contains 333 as substring.

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 (21221011122019) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1743995488 + ... + 1744007655.

Almost surely, 221221011122012 is an apocalyptic number.

It is an amenable number.

21221011122012 is an abundant number, since it is smaller than the sum of its proper divisors (36864705235020).

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

21221011122012 is a wasteful number, since it uses less digits than its factorization.

21221011122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488003179 (or 3488003161 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21221011122012 its reverse (21022111012212), we get a palindrome (42243122134224).

The spelling of 21221011122012 in words is "twenty-one trillion, two hundred twenty-one billion, eleven million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 3488003143 6976006286 10464009429 13952012572 20928018858 31392028287 41856037716 45344040859 62784056574 90688081718 125568113148 136032122577 181376163436 272064245154 408096367731 544128490308 589472531167 816192735462 1178945062334 1632385470924 1768417593501 2357890124668 3536835187002 5305252780503 7073670374004 10610505561006 21221011122012