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12221202120 = 2335372752523
BaseRepresentation
bin10110110000111000…
…01011111011001000
31011112201100101121120
423120130023323020
5200012111431440
65340410435240
7611565334611
oct133034137310
934481311546
1012221202120
115201606046
122450a32b20
1311c9c3345a
1483d15cc08
154b7db6dd0
hex2d870bec8

12221202120 has 64 divisors (see below), whose sum is σ = 37654528320. Its totient is φ = 3170905344.

The previous prime is 12221202073. The next prime is 12221202181. The reversal of 12221202120 is 2120212221.

12221202120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12221202120.

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 15 ways as a sum of consecutive naturals, for example, 1371822 + ... + 1380701.

It is an arithmetic number, because the mean of its divisors is an integer number (588352005).

Almost surely, 212221202120 is an apocalyptic number.

12221202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221202120 is an abundant number, since it is smaller than the sum of its proper divisors (25433326200).

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

12221202120 is a wasteful number, since it uses less digits than its factorization.

12221202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752574 (or 2752570 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12221202120 its reverse (2120212221), we get a palindrome (14341414341).

The spelling of 12221202120 in words is "twelve billion, two hundred twenty-one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 2752523 5505046 8257569 11010092 13762615 16515138 22020184 27525230 33030276 41287845 55050460 66060552 82575690 101843351 110100920 165151380 203686702 305530053 330302760 407373404 509216755 611060106 814746808 1018433510 1222120212 1527650265 2036867020 2444240424 3055300530 4073734040 6110601060 12221202120