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12211200220000 = 25545031213837
BaseRepresentation
bin1011000110110010010001…
…0000000101101101100000
31121020101020112112220201211
42301230210100011231200
53100032014224020000
641545425315435504
72400141632164105
oct261544420055540
947211215486654
1012211200220000
1139888171a7071
1214527422b5b94
136a7685269872
1430304d3acaac
151629947d37ba
hexb1b24405b60

12211200220000 has 120 divisors (see below), whose sum is σ = 30101133441456. Its totient is φ = 4874765376000.

The previous prime is 12211200219997. The next prime is 12211200220019. The reversal of 12211200220000 is 2200211221.

It is a happy number.

It is a super-2 number, since 2×122112002200002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9453082 + ... + 10666918.

Almost surely, 212211200220000 is an apocalyptic number.

12211200220000 is a gapful number since it is divisible by the number (10) 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 12211200220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15050566720728).

12211200220000 is an abundant number, since it is smaller than the sum of its proper divisors (17889933221456).

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

12211200220000 is an equidigital number, since it uses as much as digits as its factorization.

12211200220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214370 (or 1214347 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12211200220000 its reverse (2200211221), we get a palindrome (12213400431221).

The spelling of 12211200220000 in words is "twelve trillion, two hundred eleven billion, two hundred million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 503 625 800 1000 1006 1250 2000 2012 2500 2515 4000 4024 5000 5030 8048 10000 10060 12575 16096 20000 20120 25150 40240 50300 62875 80480 100600 125750 201200 251500 314375 402400 503000 628750 1006000 1213837 1257500 2012000 2427674 2515000 4855348 5030000 6069185 9710696 10060000 12138370 19421392 24276740 30345925 38842784 48553480 60691850 97106960 121383700 151729625 194213920 242767400 303459250 485534800 606918500 610560011 758648125 971069600 1213837000 1221120022 1517296250 2427674000 2442240044 3034592500 3052800055 4855348000 4884480088 6069185000 6105600110 9768960176 12138370000 12211200220 15264000275 19537920352 24276740000 24422400440 30528000550 48844800880 61056001100 76320001375 97689601760 122112002200 152640002750 244224004400 305280005500 381600006875 488448008800 610560011000 763200013750 1221120022000 1526400027500 2442240044000 3052800055000 6105600110000 12211200220000