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200312112000 = 27353711213379
BaseRepresentation
bin1011101010001110001…
…0000100001110000000
3201011001002120121200010
42322203202010032000
511240214400041000
6232004435424520
720320630600350
oct2724342041600
9634032517603
10200312112000
1177a51a68600
12329a4155140
1315b73b9ac30
1499a3728b60
155325a76d50
hex2ea3884380

200312112000 has 1536 divisors, whose sum is σ = 900695577600. Its totient is φ = 38320128000.

The previous prime is 200312111981. The next prime is 200312112001. The reversal of 200312112000 is 211213002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200312112001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 528527811 + ... + 528528189.

It is an arithmetic number, because the mean of its divisors is an integer number (586390350).

Almost surely, 2200312112000 is an apocalyptic number.

200312112000 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 200312112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450347788800).

200312112000 is an abundant number, since it is smaller than the sum of its proper divisors (700383465600).

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

200312112000 is a wasteful number, since it uses less digits than its factorization.

200312112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 200312112000 its reverse (211213002), we get a palindrome (200523325002).

The spelling of 200312112000 in words is "two hundred billion, three hundred twelve million, one hundred twelve thousand".