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12402204024 = 23371793171301
BaseRepresentation
bin10111000110011101…
…01001110101111000
31012000022221020112210
423203032221311320
5200344431012044
65410354135120
7616223665140
oct134316516570
935008836483
1012402204024
1152947a24a1
1224a15814a0
131228598382
148591d7920
154c8c1c1b9
hex2e33a9d78

12402204024 has 128 divisors (see below), whose sum is σ = 35772710400. Its totient is φ = 3509875200.

The previous prime is 12402204019. The next prime is 12402204037. The reversal of 12402204024 is 42040220421.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9532174 + ... + 9533474.

It is an arithmetic number, because the mean of its divisors is an integer number (279474300).

Almost surely, 212402204024 is an apocalyptic number.

12402204024 is a gapful number since it is divisible by the number (14) 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 12402204024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17886355200).

12402204024 is an abundant number, since it is smaller than the sum of its proper divisors (23370506376).

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

12402204024 is a wasteful number, since it uses less digits than its factorization.

12402204024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 12402204024 its reverse (42040220421), we get a palindrome (54442424445).

The spelling of 12402204024 in words is "twelve billion, four hundred two million, two hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 179 317 358 537 634 716 951 1074 1253 1268 1301 1432 1902 2148 2219 2506 2536 2602 3759 3804 3903 4296 4438 5012 5204 6657 7518 7608 7806 8876 9107 10024 10408 13314 15036 15612 17752 18214 26628 27321 30072 31224 36428 53256 54642 56743 72856 109284 113486 170229 218568 226972 232879 340458 397201 412417 453944 465758 680916 698637 794402 824834 931516 1191603 1237251 1361832 1397274 1588804 1630153 1649668 1863032 2383206 2474502 2794548 2886919 3177608 3260306 3299336 4766412 4890459 4949004 5589096 5773838 6520612 8660757 9532824 9780918 9898008 11547676 13041224 17321514 19561836 23095352 34643028 39123672 69286056 73822643 147645286 221467929 295290572 442935858 516758501 590581144 885871716 1033517002 1550275503 1771743432 2067034004 3100551006 4134068008 6201102012 12402204024