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20121111200 = 2552163154303
BaseRepresentation
bin10010101111010011…
…111100101010100000
31220221021102100120202
4102233103330222200
5312202001024300
613124333124332
71311422423531
oct225723745240
956837370522
1020121111200
11859592a723
123a966296a8
131b88800578
14d8c410688
157cb6e0ad5
hex4af4fcaa0

20121111200 has 72 divisors (see below), whose sum is σ = 49422336768. Its totient is φ = 7999015680.

The previous prime is 20121111191. The next prime is 20121111221. The reversal of 20121111200 is 211112102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53249 + ... + 207551.

It is an arithmetic number, because the mean of its divisors is an integer number (686421344).

Almost surely, 220121111200 is an apocalyptic number.

20121111200 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 20121111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24711168384).

20121111200 is an abundant number, since it is smaller than the sum of its proper divisors (29301225568).

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

20121111200 is a wasteful number, since it uses less digits than its factorization.

20121111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154486 (or 154473 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20121111200 its reverse (211112102), we get a palindrome (20332223302).

The spelling of 20121111200 in words is "twenty billion, one hundred twenty-one million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 163 200 326 400 652 800 815 1304 1630 2608 3260 4075 5216 6520 8150 13040 16300 26080 32600 65200 130400 154303 308606 617212 771515 1234424 1543030 2468848 3086060 3857575 4937696 6172120 7715150 12344240 15430300 24688480 25151389 30860600 50302778 61721200 100605556 123442400 125756945 201211112 251513890 402422224 503027780 628784725 804844448 1006055560 1257569450 2012111120 2515138900 4024222240 5030277800 10060555600 20121111200