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12200304144 = 243759615431
BaseRepresentation
bin10110101110011000…
…11101111000010000
31011111021000122222110
423113030131320100
5144441234213034
65334342505320
7611222605560
oct132714357020
934437018873
1012200304144
1151a0832096
122445a35240
1311c57c73a2
1483a47cda0
154b6139de9
hex2d731de10

12200304144 has 80 divisors (see below), whose sum is σ = 36630512640. Its totient is φ = 3426714240.

The previous prime is 12200304121. The next prime is 12200304197. The reversal of 12200304144 is 44140300221.

12200304144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122003041442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12200304144.

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, 287892 + ... + 327539.

It is an arithmetic number, because the mean of its divisors is an integer number (457881408).

Almost surely, 212200304144 is an apocalyptic number.

12200304144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12200304144 is an abundant number, since it is smaller than the sum of its proper divisors (24430208496).

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

12200304144 is a wasteful number, since it uses less digits than its factorization.

12200304144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615508 (or 615502 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12200304144 its reverse (44140300221), we get a palindrome (56340604365).

The spelling of 12200304144 in words is "twelve billion, two hundred million, three hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 472 708 826 944 1239 1416 1652 2478 2832 3304 4956 6608 9912 19824 615431 1230862 1846293 2461724 3692586 4308017 4923448 7385172 8616034 9846896 12924051 14770344 17232068 25848102 29540688 34464136 36310429 51696204 68928272 72620858 103392408 108931287 145241716 206784816 217862574 254173003 290483432 435725148 508346006 580966864 762519009 871450296 1016692012 1525038018 1742900592 2033384024 3050076036 4066768048 6100152072 12200304144