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12421323332020 = 22519315051208759
BaseRepresentation
bin1011010011000001000010…
…0100001001100110110100
31121222110121101020222022001
42310300100210021212310
53112002332233111040
642230135511145044
72421260654155201
oct264602044114664
947873541228261
1012421323332020
113a5994321a149
121487404075184
136c143091c745
1430d2a3adcca8
1516819183359a
hexb4c109099b4

12421323332020 has 96 divisors (see below), whose sum is σ = 28349140377600. Its totient is φ = 4554264528000.

The previous prime is 12421323332009. The next prime is 12421323332023. The reversal of 12421323332020 is 2023332312421.

It is a self number, because there is not a number n which added to its sum of digits gives 12421323332020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12421323332023) 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 31 ways as a sum of consecutive naturals, for example, 59396401 + ... + 59605159.

It is an arithmetic number, because the mean of its divisors is an integer number (295303545600).

Almost surely, 212421323332020 is an apocalyptic number.

12421323332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12421323332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14174570188800).

12421323332020 is an abundant number, since it is smaller than the sum of its proper divisors (15927817045580).

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

12421323332020 is a wasteful number, since it uses less digits than its factorization.

12421323332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213869 (or 213867 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 12421323332020 its reverse (2023332312421), we get a palindrome (14444655644441).

The spelling of 12421323332020 in words is "twelve trillion, four hundred twenty-one billion, three hundred twenty-three million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 1178 2356 2945 5051 5890 10102 11780 20204 25255 50510 95969 101020 156581 191938 208759 313162 383876 417518 479845 626324 782905 835036 959690 1043795 1565810 1919380 2087590 2975039 3131620 3966421 4175180 5950078 6471529 7932842 11900156 12943058 14875195 15865684 19832105 25886116 29750390 32357645 39664210 59500780 64715290 79328420 122959051 129430580 245918102 491836204 614795255 1054441709 1229590510 2108883418 2459181020 4217766836 5272208545 10544417090 20034392471 21088834180 32687692979 40068784942 65375385958 80137569884 100171962355 130750771916 163438464895 200343924710 326876929790 400687849420 621066166601 653753859580 1242132333202 2484264666404 3105330833005 6210661666010 12421323332020