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12101221200 = 2435210084351
BaseRepresentation
bin10110100010100100…
…11111101101010000
31011020100120201201210
423101102133231100
5144240403034300
65320443100120
7605610453165
oct132122375520
934210521653
1012101221200
11514a907662
122418811640
1311ab115123
1482b24a06c
154ac5b7050
hex2d149fb50

12101221200 has 60 divisors (see below), whose sum is σ = 38764249088. Its totient is φ = 3226992000.

The previous prime is 12101221199. The next prime is 12101221211. The reversal of 12101221200 is 212210121.

12101221200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5040976 + ... + 5043375.

Almost surely, 212101221200 is an apocalyptic number.

12101221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101221200 is an abundant number, since it is smaller than the sum of its proper divisors (26663027888).

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

12101221200 is a wasteful number, since it uses less digits than its factorization.

12101221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10084372 (or 10084361 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12101221200 its reverse (212210121), we get a palindrome (12313431321).

The spelling of 12101221200 in words is "twelve billion, one hundred one million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 10084351 20168702 30253053 40337404 50421755 60506106 80674808 100843510 121012212 151265265 161349616 201687020 242024424 252108775 302530530 403374040 484048848 504217550 605061060 756326325 806748080 1008435100 1210122120 1512652650 2016870200 2420244240 3025305300 4033740400 6050610600 12101221200