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12202100120 = 2357229190301
BaseRepresentation
bin10110101110100110…
…10100010110011000
31011111101101220121002
423113103110112120
5144442214200440
65334445204132
7611244065630
oct132723242630
934441356532
1012202100120
1151a1849471
122446560648
1311c5ca59b2
1483a7c96c0
154b6392115
hex2d74d4598

12202100120 has 64 divisors (see below), whose sum is σ = 31514011200. Its totient is φ = 4165286400.

The previous prime is 12202100101. The next prime is 12202100129. The reversal of 12202100120 is 2100120221.

It is a happy number.

12202100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202100129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31031 + ... + 159270.

It is an arithmetic number, because the mean of its divisors is an integer number (492406425).

Almost surely, 212202100120 is an apocalyptic number.

12202100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12202100120 is an abundant number, since it is smaller than the sum of its proper divisors (19311911080).

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

12202100120 is a wasteful number, since it uses less digits than its factorization.

12202100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190548 (or 190544 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12202100120 its reverse (2100120221), we get a palindrome (14302220341).

The spelling of 12202100120 in words is "twelve billion, two hundred two million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 229 280 458 916 1145 1603 1832 2290 3206 4580 6412 8015 9160 12824 16030 32060 64120 190301 380602 761204 951505 1332107 1522408 1903010 2664214 3806020 5328428 6660535 7612040 10656856 13321070 26642140 43578929 53284280 87157858 174315716 217894645 305052503 348631432 435789290 610105006 871578580 1220210012 1525262515 1743157160 2440420024 3050525030 6101050060 12202100120