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99612001200 = 24352147156431
BaseRepresentation
bin101110011000101010…
…1101000001110110000
3100112010010112221221210
41130301111220032300
53113001133014300
6113432222520120
710124323016445
oct1346125501660
9315103487853
1099612001200
1139277417938
121737ba36040
13951631085a
144b6d7019cc
1528d0147050
hex17315683b0

99612001200 has 120 divisors (see below), whose sum is σ = 319313022976. Its totient is φ = 26544672000.

The previous prime is 99612001189. The next prime is 99612001231. The reversal of 99612001200 is 210021699.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 1736985 + ... + 1793415.

Almost surely, 299612001200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99612001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159656511488).

99612001200 is an abundant number, since it is smaller than the sum of its proper divisors (219701021776).

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

99612001200 is a wasteful number, since it uses less digits than its factorization.

99612001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57923 (or 57912 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

Adding to 99612001200 its reverse (210021699), we get a palindrome (99822022899).

The spelling of 99612001200 in words is "ninety-nine billion, six hundred twelve million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1471 2942 4413 5884 7355 8826 11768 14710 17652 22065 23536 29420 35304 36775 44130 56431 58840 70608 73550 88260 110325 112862 117680 147100 169293 176520 220650 225724 282155 294200 338586 353040 441300 451448 564310 588400 677172 846465 882600 902896 1128620 1354344 1410775 1692930 1765200 2257240 2708688 2821550 3385860 4232325 4514480 5643100 6771720 8464650 11286200 13543440 16929300 22572400 33858600 67717200 83010001 166020002 249030003 332040004 415050005 498060006 664080008 830100010 996120012 1245150015 1328160016 1660200020 1992240024 2075250025 2490300030 3320400040 3984480048 4150500050 4980600060 6225750075 6640800080 8301000100 9961200120 12451500150 16602000200 19922400240 24903000300 33204000400 49806000600 99612001200