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12404012221100 = 2252293493385819
BaseRepresentation
bin1011010010000000100010…
…1111100000001010101100
31121220210220221100102102202
42310200020233200022230
53111211404112033400
642214154034041032
72420105662150103
oct264401057401254
947823827312382
1012404012221100
113a5256a588305
121483b92719178
136bc90233b146
1430c50099703a
151679cbba54d5
hexb4808be02ac

12404012221100 has 72 divisors (see below), whose sum is σ = 27014362272240. Its totient is φ = 4943611111680.

The previous prime is 12404012221093. The next prime is 12404012221109. The reversal of 12404012221100 is 112221040421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12404012221109) 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 23 ways as a sum of consecutive naturals, for example, 144493991 + ... + 144579809.

Almost surely, 212404012221100 is an apocalyptic number.

12404012221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12404012221100 is an abundant number, since it is smaller than the sum of its proper divisors (14610350051140).

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

12404012221100 is a wasteful number, since it uses less digits than its factorization.

12404012221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91059 (or 91052 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12404012221100 its reverse (112221040421), we get a palindrome (12516233261521).

The spelling of 12404012221100 in words is "twelve trillion, four hundred four billion, twelve million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 293 586 1172 1465 2930 4933 5860 7325 9866 14650 19732 24665 29300 49330 85819 98660 123325 171638 246650 343276 429095 493300 858190 1445369 1716380 2145475 2890738 4290950 5781476 7226845 8581900 14453690 25144967 28907380 36134225 50289934 72268450 100579868 125724835 144536900 251449670 423345127 502899340 628624175 846690254 1257248350 1693380508 2116725635 2514496700 4233451270 8466902540 10583628175 21167256350 42334512700 124040122211 248080244422 496160488844 620200611055 1240401222110 2480802444220 3101003055275 6202006110550 12404012221100