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1221022102212 = 22321159107488419
BaseRepresentation
bin10001110001001010100…
…101101011001011000100
311022201200010111112212200
4101301022211223023010
5130001123124232322
62332532501114500
7154134031423533
oct21611245531304
94281603445780
101221022102212
11430918165690
121787859b8a30
138b1ac96aa43
144315247231a
1521b655518ac
hex11c4a96b2c4

1221022102212 has 144 divisors (see below), whose sum is σ = 3456138067200. Its totient is φ = 360335263680.

The previous prime is 1221022102171. The next prime is 1221022102229. The reversal of 1221022102212 is 2122012201221.

It is a happy number.

1221022102212 is a `hidden beast` number, since 1 + 221 + 0 + 221 + 0 + 221 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2255739 + ... + 2744157.

It is an arithmetic number, because the mean of its divisors is an integer number (24000958800).

Almost surely, 21221022102212 is an apocalyptic number.

1221022102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221022102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728069033600).

1221022102212 is an abundant number, since it is smaller than the sum of its proper divisors (2235115964988).

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

1221022102212 is a wasteful number, since it uses less digits than its factorization.

1221022102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488606 (or 488601 counting only the distinct ones).

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

Adding to 1221022102212 its reverse (2122012201221), we get a palindrome (3343034303433).

Subtracting 1221022102212 from its reverse (2122012201221), we obtain a palindrome (900990099009).

The spelling of 1221022102212 in words is "one trillion, two hundred twenty-one billion, twenty-two million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 99 107 118 132 177 198 214 236 321 354 396 428 531 642 649 708 963 1062 1177 1284 1298 1926 1947 2124 2354 2596 3531 3852 3894 4708 5841 6313 7062 7788 10593 11682 12626 14124 18939 21186 23364 25252 37878 42372 56817 69443 75756 113634 138886 208329 227268 277772 416658 488419 624987 833316 976838 1249974 1465257 1953676 2499948 2930514 4395771 5372609 5861028 8791542 10745218 16117827 17583084 21490436 28816721 32235654 48353481 52260833 57633442 64471308 86450163 96706962 104521666 115266884 156782499 172900326 193413924 209043332 259350489 313564998 316983931 345800652 470347497 518700978 574869163 627129996 633967862 940694994 950951793 1037401956 1149738326 1267935724 1724607489 1881389988 1901903586 2299476652 2852855379 3083389147 3449214978 3803807172 5173822467 5705710758 6166778294 6898429956 9250167441 10347644934 11411421516 12333556588 18500334882 20695289868 27750502323 33917280617 37000669764 55501004646 67834561234 101751841851 111002009292 135669122468 203503683702 305255525553 407007367404 610511051106 1221022102212