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12001222021000 = 235325469471209
BaseRepresentation
bin1010111010100100000010…
…0100110100111110001000
31120111022020210112012110111
42232221000210310332020
53033112000314133000
641305141342124104
72346026320014652
oct256510044647610
946438223465414
1012001222021000
113907764a61313
121419b00b80634
13690930924334
142d6c100016d2
1515c2a535acba
hexaea40934f88

12001222021000 has 64 divisors (see below), whose sum is σ = 28084021758000. Its totient is φ = 4800290137600.

The previous prime is 12001222020923. The next prime is 12001222021031. The reversal of 12001222021000 is 12022210021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 139796723236 + 11861425297764 = 373894^2 + 3444042^2 .

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 15 ways as a sum of consecutive naturals, for example, 25233396 + ... + 25704604.

Almost surely, 212001222021000 is an apocalyptic number.

12001222021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001222021000 is an abundant number, since it is smaller than the sum of its proper divisors (16082799737000).

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

12001222021000 is a wasteful number, since it uses less digits than its factorization.

12001222021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496699 (or 496685 counting only the distinct ones).

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

Adding to 12001222021000 its reverse (12022210021), we get a palindrome (12013244231021).

The spelling of 12001222021000 in words is "twelve trillion, one billion, two hundred twenty-two million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 25469 50938 101876 127345 203752 254690 471209 509380 636725 942418 1018760 1273450 1884836 2356045 2546900 3183625 3769672 4712090 5093800 6367250 9424180 11780225 12734500 18848360 23560450 25469000 47120900 58901125 94241800 117802250 235604500 471209000 12001222021 24002444042 48004888084 60006110105 96009776168 120012220210 240024440420 300030550525 480048880840 600061101050 1200122202100 1500152752625 2400244404200 3000305505250 6000611010500 12001222021000