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20002213231200 = 253252193714472731
BaseRepresentation
bin1001000110001001000001…
…10100000111101001100000
32121211012012122001022002200
410203010200310013221200
510110204013041344300
6110312520115213200
74133053330125654
oct443044064075140
977735178038080
1020002213231200
116411988a04432
1222b06908a7200
13b2127b9988b5
144d2180180a64
1524a484318200
hex123120d07a60

20002213231200 has 864 divisors, whose sum is σ = 76332316919040. Its totient is φ = 4911421132800.

The previous prime is 20002213231183. The next prime is 20002213231201. The reversal of 20002213231200 is 213231220002.

20002213231200 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 221 + 323 + 120 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002213231201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7324133835 + ... + 7324136565.

Almost surely, 220002213231200 is an apocalyptic number.

20002213231200 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 20002213231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38166158459520).

20002213231200 is an abundant number, since it is smaller than the sum of its proper divisors (56330103687840).

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

20002213231200 is a wasteful number, since it uses less digits than its factorization.

20002213231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4260 (or 4244 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20002213231200 its reverse (213231220002), we get a palindrome (20215444451202).

The spelling of 20002213231200 in words is "twenty trillion, two billion, two hundred thirteen million, two hundred thirty-one thousand, two hundred".