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12212022211120 = 2452322329762191
BaseRepresentation
bin1011000110110101010100…
…1111101111001000110000
31121020110100211021101120101
42301231111033233020300
53100040210141223440
641550043041522144
72400201203041504
oct261552517571060
947213324241511
1012212022211120
1139890a9198176
121452931643354
136a778664c244
143030ca620304
151629e1a5169a
hexb1b553ef230

12212022211120 has 80 divisors (see below), whose sum is σ = 29760287219712. Its totient is φ = 4651473150720.

The previous prime is 12212022211057. The next prime is 12212022211187. The reversal of 12212022211120 is 2111222021221.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14470776 + ... + 15291415.

Almost surely, 212212022211120 is an apocalyptic number.

12212022211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212022211120 is an abundant number, since it is smaller than the sum of its proper divisors (17548265008592).

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

12212022211120 is a wasteful number, since it uses less digits than its factorization.

12212022211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29762450 (or 29762444 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12212022211120 its reverse (2111222021221), we get a palindrome (14323244232341).

The spelling of 12212022211120 in words is "twelve trillion, two hundred twelve billion, twenty-two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 223 230 368 446 460 892 920 1115 1784 1840 2230 3568 4460 5129 8920 10258 17840 20516 25645 41032 51290 82064 102580 205160 410320 29762191 59524382 119048764 148810955 238097528 297621910 476195056 595243820 684530393 1190487640 1369060786 2380975280 2738121572 3422651965 5476243144 6636968593 6845303930 10952486288 13273937186 13690607860 26547874372 27381215720 33184842965 53095748744 54762431440 66369685930 106191497488 132739371860 152650277639 265478743720 305300555278 530957487440 610601110556 763251388195 1221202221112 1526502776390 2442404442224 3053005552780 6106011105560 12212022211120