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200000012000 = 2553491101833
BaseRepresentation
bin1011101001000011101…
…1011111111011100000
3201010020100022021221212
42322100323133323200
511234100000341000
6231513450205252
720310121023665
oct2722073377340
9633210267855
10200000012000
117790187a218
1232917723828
1315b24324789
1499740c5a6c
155308477c35
hex2e90edfee0

200000012000 has 96 divisors (see below), whose sum is σ = 492405679584. Its totient is φ = 79836288000.

The previous prime is 200000011987. The next prime is 200000012011. The reversal of 200000012000 is 210000002.

It is a Harshad number since it is a multiple of its sum of digits (5).

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, 1913084 + ... + 2014916.

It is an arithmetic number, because the mean of its divisors is an integer number (5129225829).

Almost surely, 2200000012000 is an apocalyptic number.

200000012000 is a gapful number since it is divisible by the number (20) 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 200000012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246202839792).

200000012000 is an abundant number, since it is smaller than the sum of its proper divisors (292405667584).

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

200000012000 is a wasteful number, since it uses less digits than its factorization.

200000012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102349 (or 102331 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 200000012000 its reverse (210000002), we get a palindrome (200210012002).

The spelling of 200000012000 in words is "two hundred billion, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 491 500 800 982 1000 1964 2000 2455 3928 4000 4910 7856 9820 12275 15712 19640 24550 39280 49100 61375 78560 98200 101833 122750 196400 203666 245500 392800 407332 491000 509165 814664 982000 1018330 1629328 1964000 2036660 2545825 3258656 4073320 5091650 8146640 10183300 12729125 16293280 20366600 25458250 40733200 50000003 50916500 81466400 100000006 101833000 200000012 203666000 250000015 400000024 407332000 500000030 800000048 1000000060 1250000075 1600000096 2000000120 2500000150 4000000240 5000000300 6250000375 8000000480 10000000600 12500000750 20000001200 25000001500 40000002400 50000003000 100000006000 200000012000