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12200003442 = 23211541311383
BaseRepresentation
bin10110101110010110…
…10100011101110010
31011111020110101111100
423113023110131302
5144441200102232
65334332225230
7611220214104
oct132713243562
934436411440
1012200003442
1151a0647180
12244590b216
1311c5720563
1483a401574
154b60cac7c
hex2d72d4772

12200003442 has 48 divisors (see below), whose sum is σ = 28844232768. Its totient is φ = 3695963040.

The previous prime is 12200003399. The next prime is 12200003447. The reversal of 12200003442 is 24430000221.

12200003442 is a `hidden beast` number, since 1 + 220 + 0 + 0 + 0 + 3 + 442 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12200003447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1066083 + ... + 1077465.

It is an arithmetic number, because the mean of its divisors is an integer number (600921516).

Almost surely, 212200003442 is an apocalyptic number.

12200003442 is an abundant number, since it is smaller than the sum of its proper divisors (16644229326).

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

12200003442 is a wasteful number, since it uses less digits than its factorization.

12200003442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16815 (or 16812 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12200003442 its reverse (24430000221), we get a palindrome (36630003663).

The spelling of 12200003442 in words is "twelve billion, two hundred million, three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 5413 10826 11383 16239 22766 32478 34149 48717 59543 68298 97434 102447 119086 125213 178629 204894 250426 357258 375639 535887 751278 1071774 1126917 2253834 61616179 123232358 184848537 369697074 554545611 677777969 1109091222 1355555938 2033333907 4066667814 6100001721 12200003442