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20121212200122 = 2341111291364871
BaseRepresentation
bin1001001001100110101011…
…01101001010010010111010
32122020120100212121021010000
410210303111231022102322
510114131220310400442
6110443320212133430
74144465252514265
oct444632555122272
978216325537100
1020121212200122
1164583a3801040
12230b761307276
13b2c564674687
144d7c2c58bcdc
1524d5eb486d4c
hex124cd5b4a4ba

20121212200122 has 40 divisors (see below), whose sum is σ = 49185185382432. Its totient is φ = 6097337029800.

The previous prime is 20121212200121. The next prime is 20121212200213. The reversal of 20121212200122 is 22100221212102.

It is a happy number.

20121212200122 is a `hidden beast` number, since 201 + 2 + 121 + 220 + 0 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20121212200095 and 20121212200104.

It is not an unprimeable number, because it can be changed into a prime (20121212200121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5645680654 + ... + 5645684217.

Almost surely, 220121212200122 is an apocalyptic number.

20121212200122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20121212200122 is an abundant number, since it is smaller than the sum of its proper divisors (29063973182310).

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

20121212200122 is a wasteful number, since it uses less digits than its factorization.

20121212200122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11291364896 (or 11291364887 counting only the distinct ones).

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

Adding to 20121212200122 its reverse (22100221212102), we get a palindrome (42221433412224).

The spelling of 20121212200122 in words is "twenty trillion, one hundred twenty-one billion, two hundred twelve million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 11291364871 22582729742 33874094613 67748189226 101622283839 124205013581 203244567678 248410027162 304866851517 372615040743 609733703034 745230081486 914600554551 1117845122229 1829201109102 2235690244458 3353535366687 6707070733374 10060606100061 20121212200122