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12202023424 = 2959340189
BaseRepresentation
bin10110101110100110…
…00001101000000000
31011111101021000101111
423113103001220000
5144442204222144
65334443413104
7611243326213
oct132723015000
934441230344
1012202023424
1151a17a6888
122446524194
1311c5c79b06
1483a7a977a
154b6379534
hex2d74c1a00

12202023424 has 40 divisors (see below), whose sum is σ = 24421935780. Its totient is φ = 6090571776.

The previous prime is 12202023403. The next prime is 12202023437. The reversal of 12202023424 is 42432020221.

It can be written as a sum of positive squares in 2 ways, for example, as 11303942400 + 898081024 = 106320^2 + 29968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12202023395 and 12202023404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 283522 + ... + 323710.

Almost surely, 212202023424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12210967890).

12202023424 is an abundant number, since it is smaller than the sum of its proper divisors (12219912356).

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

12202023424 is an frugal number, since it uses more digits than its factorization.

12202023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40800 (or 40784 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 12202023424 its reverse (42432020221), we get a palindrome (54634043645).

The spelling of 12202023424 in words is "twelve billion, two hundred two million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 593 1186 2372 4744 9488 18976 37952 40189 75904 80378 151808 160756 303616 321512 643024 1286048 2572096 5144192 10288384 20576768 23832077 47664154 95328308 190656616 381313232 762626464 1525252928 3050505856 6101011712 12202023424