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1021201221222 = 232713372455401
BaseRepresentation
bin11101101110001000101…
…01100000011001100110
310121121220021021001110200
432313010111200121212
5113212410003034342
62101044450131330
7133531214105430
oct16670425403146
93547807231420
101021201221222
113640a8515226
12145aba280b46
13753b67a4760
14375d8099650
151b86cbae94c
hexedc4560666

1021201221222 has 144 divisors (see below), whose sum is σ = 2798798681952. Its totient is φ = 262048089600.

The previous prime is 1021201221217. The next prime is 1021201221239. The reversal of 1021201221222 is 2221221021201.

It is a happy number.

1021201221222 is a `hidden beast` number, since 1 + 0 + 21 + 201 + 221 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1021201221195 and 1021201221204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2014722 + ... + 2470122.

It is an arithmetic number, because the mean of its divisors is an integer number (19436101958).

Almost surely, 21021201221222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021201221222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399399340976).

1021201221222 is an abundant number, since it is smaller than the sum of its proper divisors (1777597460730).

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

1021201221222 is a wasteful number, since it uses less digits than its factorization.

1021201221222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455503 (or 455463 counting only the distinct ones).

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

Adding to 1021201221222 its reverse (2221221021201), we get a palindrome (3242422242423).

The spelling of 1021201221222 in words is "one trillion, twenty-one billion, two hundred one million, two hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 37 39 42 63 74 78 91 111 117 126 182 222 234 259 273 333 481 518 546 666 777 819 962 1369 1443 1554 1638 2331 2738 2886 3367 4107 4329 4662 6734 8214 8658 9583 10101 12321 17797 19166 20202 24642 28749 30303 35594 53391 57498 60606 86247 106782 124579 160173 172494 249158 320346 373737 455401 747474 910802 1121211 1366203 2242422 2732406 3187807 4098609 5920213 6375614 8197218 9563421 11840426 16849837 17760639 19126842 28690263 33699674 35521278 41441491 50549511 53281917 57380526 82882982 101099022 106563834 117948859 124324473 151648533 219047881 235897718 248648946 303297066 353846577 372973419 438095762 623443969 657143643 707693154 745946838 1061539731 1246887938 1314287286 1533335167 1870331907 1971430929 2123079462 3066670334 3740663814 3942861858 4364107783 4600005501 5610995721 8104771597 8728215566 9200011002 11221991442 13092323349 13800016503 16209543194 24314314791 26184646698 27600033006 39276970047 48628629582 56733401179 72942944373 78553940094 113466802358 145885888746 170200203537 340400407074 510600610611 1021201221222