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120100200012 = 22331385541453
BaseRepresentation
bin110111111011010000…
…1111001111001001100
3102110222222201022002000
41233312201321321030
53431431122400022
6131101232032300
711451123566502
oct1576641717114
9373888638060
10120100200012
1146a30482951
121b339392690
13b42cb9ac10
145b5478a672
1531cdb996ac
hex1bf6879e4c

120100200012 has 48 divisors (see below), whose sum is σ = 335322499680. Its totient is φ = 36953907264.

The previous prime is 120100199981. The next prime is 120100200019. The reversal of 120100200012 is 210002001021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120100199967 and 120100200003.

It is not an unprimeable number, because it can be changed into a prime (120100200019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42769323 + ... + 42772130.

It is an arithmetic number, because the mean of its divisors is an integer number (6985885410).

Almost surely, 2120100200012 is an apocalyptic number.

120100200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120100200012 is an abundant number, since it is smaller than the sum of its proper divisors (215222299668).

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

120100200012 is a wasteful number, since it uses less digits than its factorization.

120100200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85541479 (or 85541471 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120100200012 its reverse (210002001021), we get a palindrome (330102201033).

The spelling of 120100200012 in words is "one hundred twenty billion, one hundred million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 85541453 171082906 256624359 342165812 513248718 769873077 1026497436 1112038889 1539746154 2224077778 2309619231 3079492308 3336116667 4448155556 4619238462 6672233334 9238476924 10008350001 13344466668 20016700002 30025050003 40033400004 60050100006 120100200012