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12200102240 = 255376920231
BaseRepresentation
bin10110101110010111…
…01100100101100000
31011111020122102000112
423113023230211200
5144441211232430
65334334310452
7611221105124
oct132713544540
934436572015
1012200102240
1151a0704427
122445958428
1311c5756511
1483a429584
154b60ea195
hex2d72ec960

12200102240 has 48 divisors (see below), whose sum is σ = 28831813920. Its totient is φ = 4878504960.

The previous prime is 12200102231. The next prime is 12200102261. The reversal of 12200102240 is 4220100221.

12200102240 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 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 7 ways as a sum of consecutive naturals, for example, 592925 + ... + 613155.

It is an arithmetic number, because the mean of its divisors is an integer number (600662790).

Almost surely, 212200102240 is an apocalyptic number.

12200102240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200102240 is an abundant number, since it is smaller than the sum of its proper divisors (16631711680).

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

12200102240 is a wasteful number, since it uses less digits than its factorization.

12200102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24015 (or 24007 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12200102240 its reverse (4220100221), we get a palindrome (16420202461).

The spelling of 12200102240 in words is "twelve billion, two hundred million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3769 7538 15076 18845 20231 30152 37690 40462 60304 75380 80924 101155 120608 150760 161848 202310 301520 323696 404620 603040 647392 809240 1618480 3236960 76250639 152501278 305002556 381253195 610005112 762506390 1220010224 1525012780 2440020448 3050025560 6100051120 12200102240