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1221062009232 = 2431331503912527
BaseRepresentation
bin10001110001001100111…
…101111010000110010000
311022201202220121001000110
4101301030331322012100
5130001213333243412
62332540444321320
7154135024553532
oct21611475720620
94281686531013
101221062009232
1143093874239a
12178797243240
138b1b8001170
144315789d852
1521b68cd5d3c
hex11c4cf7a190

1221062009232 has 160 divisors (see below), whose sum is σ = 3507615498240. Its totient is φ = 363490490880.

The previous prime is 1221062009147. The next prime is 1221062009261. The reversal of 1221062009232 is 2329002601221.

It is a self number, because there is not a number n which added to its sum of digits gives 1221062009232.

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 31 ways as a sum of consecutive naturals, for example, 97468153 + ... + 97480679.

It is an arithmetic number, because the mean of its divisors is an integer number (21922596864).

Almost surely, 21221062009232 is an apocalyptic number.

1221062009232 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 1221062009232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753807749120).

1221062009232 is an abundant number, since it is smaller than the sum of its proper divisors (2286553489008).

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

1221062009232 is a wasteful number, since it uses less digits than its factorization.

1221062009232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17621 (or 17615 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 1221062009232 in words is "one trillion, two hundred twenty-one billion, sixty-two million, nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 5039 6448 9672 10078 12527 15117 19344 20156 25054 30234 37581 40312 50108 60468 65507 75162 80624 100216 120936 131014 150324 156209 162851 196521 200432 241872 262028 300648 312418 325702 388337 393042 468627 488553 524056 601296 624836 651404 776674 786084 937254 977106 1048112 1165011 1249672 1302808 1553348 1572168 1874508 1954212 2030717 2330022 2499344 2605616 3106696 3144336 3749016 3908424 4061434 4660044 5048381 6092151 6213392 7498032 7816848 8122868 9320088 10096762 12184302 15145143 16245736 18640176 20193524 24368604 30290286 32491472 40387048 48737208 60580572 63123553 80774096 97474416 121161144 126247106 189370659 242322288 252494212 378741318 504988424 757482636 820606189 1009976848 1514965272 1641212378 1956830143 2461818567 3029930544 3282424756 3913660286 4923637134 5870490429 6564849512 7827320572 9847274268 11740980858 13129699024 15654641144 19694548536 23481961716 25438791859 31309282288 39389097072 46963923432 50877583718 76316375577 93927846864 101755167436 152632751154 203510334872 305265502308 407020669744 610531004616 1221062009232