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200122012202112 = 27347111319282609
BaseRepresentation
bin101101100000001010001001…
…011100101111010010000000
3222020120110220010010010110000
4231200022021130233102000
5202212244340110431422
61545342441102240000
760103224010032420
oct5540121134572200
9866513803103400
10200122012202112
11588462a5799720
121a540ba0b86000
13878856a303590
14375bd582c0480
151820975a17cac
hexb6028972f480

200122012202112 has 640 divisors, whose sum is σ = 799632868003200. Its totient is φ = 47981299138560.

The previous prime is 200122012202111. The next prime is 200122012202131. The reversal of 200122012202112 is 211202210221002.

It is a happy number.

200122012202112 is a `hidden beast` number, since 20 + 0 + 12 + 201 + 220 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (200122012202111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 737064 + ... + 20019672.

It is an arithmetic number, because the mean of its divisors is an integer number (1249426356255).

Almost surely, 2200122012202112 is an apocalyptic number.

200122012202112 is a gapful number since it is divisible by the number (22) 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 200122012202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399816434001600).

200122012202112 is an abundant number, since it is smaller than the sum of its proper divisors (599510855801088).

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

200122012202112 is a wasteful number, since it uses less digits than its factorization.

200122012202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19282666 (or 19282645 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200122012202112 its reverse (211202210221002), we get a palindrome (411324222423114).

The spelling of 200122012202112 in words is "two hundred trillion, one hundred twenty-two billion, twelve million, two hundred two thousand, one hundred twelve".