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12122444004 = 22311896191667
BaseRepresentation
bin10110100101000110…
…11101000011100100
31011021211111221221120
423102203131003210
5144311321202004
65322522013540
7606256034226
oct132243350344
934254457846
1012122444004
115160892670
1224239472b0
1311b2635cb8
1482ddb2416
154ae3aa3d9
hex2d28dd0e4

12122444004 has 96 divisors (see below), whose sum is σ = 31272998400. Its totient is φ = 3624149760.

The previous prime is 12122443967. The next prime is 12122444057. The reversal of 12122444004 is 40044422121.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7271179 + ... + 7272845.

It is an arithmetic number, because the mean of its divisors is an integer number (325760400).

Almost surely, 212122444004 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 12122444004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15636499200).

12122444004 is an abundant number, since it is smaller than the sum of its proper divisors (19150554396).

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

12122444004 is a wasteful number, since it uses less digits than its factorization.

12122444004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12122444004 its reverse (40044422121), we get a palindrome (52166866125).

The spelling of 12122444004 in words is "twelve billion, one hundred twenty-two million, four hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 132 178 267 356 534 619 979 1068 1238 1667 1857 1958 2476 2937 3334 3714 3916 5001 5874 6668 6809 7428 10002 11748 13618 18337 20004 20427 27236 36674 40854 55011 55091 73348 81708 110022 110182 148363 165273 220044 220364 296726 330546 445089 593452 606001 661092 890178 1031873 1212002 1631993 1780356 1818003 2063746 2424004 3095619 3263986 3636006 4127492 4895979 6191238 6527972 7272012 9791958 11350603 12382476 19583916 22701206 34051809 45402412 68103618 91836697 136207236 183673394 275510091 367346788 551020182 1010203667 1102040364 2020407334 3030611001 4040814668 6061222002 12122444004