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12001100220100 = 2252120011002201
BaseRepresentation
bin1010111010100011100101…
…0100001100011011000100
31120111021221022100002001001
42232220321110030123010
53033111223124020400
641305121311343044
72346023310513205
oct256507124143304
946437838302031
1012001100220100
11390770222a512
121419a88221a84
136909116197b4
142d6bdbb775ac
1515c2997eba6a
hexaea3950c6c4

12001100220100 has 18 divisors (see below), whose sum is σ = 26042387477834. Its totient is φ = 4800440088000.

The previous prime is 12001100220079. The next prime is 12001100220103. The reversal of 12001100220100 is 102200110021.

It can be written as a sum of positive squares in 3 ways, for example, as 8343360964 + 11992756859136 = 91342^2 + 3463056^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12001100220103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60005501001 + ... + 60005501200.

Almost surely, 212001100220100 is an apocalyptic number.

12001100220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001100220100 is an abundant number, since it is smaller than the sum of its proper divisors (14041287257734).

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

12001100220100 is a wasteful number, since it uses less digits than its factorization.

12001100220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120011002215 (or 120011002208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12001100220100 its reverse (102200110021), we get a palindrome (12103300330121).

The spelling of 12001100220100 in words is "twelve trillion, one billion, one hundred million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 120011002201 240022004402 480044008804 600055011005 1200110022010 2400220044020 3000275055025 6000550110050 12001100220100