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12000221201000 = 235373916238459
BaseRepresentation
bin1010111010100000010011…
…1011000000001001101000
31120111012200001022021112002
42232220010323000021220
53033102423111413000
641304454151110132
72345662445130254
oct256500473001150
946435601267462
1012000221201000
1139072a102844a
121419881972348
1369080148ab56
142d6b5711d264
1515c2475668d5
hexaea04ec0268

12000221201000 has 64 divisors (see below), whose sum is σ = 28118517336000. Its totient is φ = 4793592801600.

The previous prime is 12000221200951. The next prime is 12000221201053. The reversal of 12000221201000 is 10212200021.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 7380230 + ... + 8858229.

It is an arithmetic number, because the mean of its divisors is an integer number (439351833375).

Almost surely, 212000221201000 is an apocalyptic number.

12000221201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000221201000 is an abundant number, since it is smaller than the sum of its proper divisors (16118296135000).

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

12000221201000 is a wasteful number, since it uses less digits than its factorization.

12000221201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16239219 (or 16239205 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12000221201000 its reverse (10212200021), we get a palindrome (12010433401021).

The spelling of 12000221201000 in words is "twelve trillion, two hundred twenty-one million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 739 1000 1478 2956 3695 5912 7390 14780 18475 29560 36950 73900 92375 147800 184750 369500 739000 16238459 32476918 64953836 81192295 129907672 162384590 324769180 405961475 649538360 811922950 1623845900 2029807375 3247691800 4059614750 8119229500 12000221201 16238459000 24000442402 48000884804 60001106005 96001769608 120002212010 240004424020 300005530025 480008848040 600011060050 1200022120100 1500027650125 2400044240200 3000055300250 6000110600500 12000221201000