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221230002012000 = 2535318435833501
BaseRepresentation
bin110010010011010100011111…
…101011101111111101100000
31002000022101022012212210112020
4302103110133223233331200
5212444113021003341000
62102303354311301440
764412224454051262
oct6223243753577540
91060271265783466
10221230002012000
1164544131755113
122098ba3407a880
139659b90778427
143c8b836bb9b32
151a89a779d5ba0
hexc9351faeff60

221230002012000 has 96 divisors (see below), whose sum is σ = 724749486630624. Its totient is φ = 58994667200000.

The previous prime is 221230002011983. The next prime is 221230002012031. The reversal of 221230002012000 is 210200032122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2212300020120003 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9217904751 + ... + 9217928750.

It is an arithmetic number, because the mean of its divisors is an integer number (7549473819069).

Almost surely, 2221230002012000 is an apocalyptic number.

221230002012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221230002012000 is an abundant number, since it is smaller than the sum of its proper divisors (503519484618624).

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

221230002012000 is a wasteful number, since it uses less digits than its factorization.

221230002012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18435833529 (or 18435833511 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 221230002012000 its reverse (210200032122), we get a palindrome (221440202044122).

The spelling of 221230002012000 in words is "two hundred twenty-one trillion, two hundred thirty billion, two million, twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 18435833501 36871667002 55307500503 73743334004 92179167505 110615001006 147486668008 184358335010 221230002012 276537502515 294973336016 368716670020 442460004024 460895837525 553075005030 589946672032 737433340040 884920008048 921791675050 1106150010060 1382687512575 1474866680080 1769840016096 1843583350100 2212300020120 2304479187625 2765375025150 2949733360160 3687166700200 4424600040240 4608958375250 5530750050300 6913437562875 7374333400400 8849200080480 9217916750500 11061500100600 13826875125750 14748666800800 18435833501000 22123000201200 27653750251500 36871667002000 44246000402400 55307500503000 73743334004000 110615001006000 221230002012000