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12112133072 = 241317191391297
BaseRepresentation
bin10110100011111000…
…00111101111010000
31011021010010010000012
423101330013233100
5144301201224242
65321513014052
7606102301214
oct132174075720
934233103005
1012112133072
115155a8a936
1224203b4328
1311b0465a60
1482c88a944
154ad520282
hex2d1f07bd0

12112133072 has 160 divisors (see below), whose sum is σ = 28391932800. Its totient is φ = 4944789504.

The previous prime is 12112133071. The next prime is 12112133153. The reversal of 12112133072 is 27033121121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112133071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9337928 + ... + 9339224.

It is an arithmetic number, because the mean of its divisors is an integer number (177449580).

Almost surely, 212112133072 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 12112133072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14195966400).

12112133072 is an abundant number, since it is smaller than the sum of its proper divisors (16279799728).

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

12112133072 is a wasteful number, since it uses less digits than its factorization.

12112133072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 12112133072 its reverse (27033121121), we get a palindrome (39145254193).

The spelling of 12112133072 in words is "twelve billion, one hundred twelve million, one hundred thirty-three thousand, seventy-two".

Divisors: 1 2 4 8 13 16 17 19 26 34 38 52 68 76 104 136 139 152 208 221 247 272 278 304 323 442 494 556 646 884 988 1112 1292 1297 1768 1807 1976 2224 2363 2584 2594 2641 3536 3614 3952 4199 4726 5168 5188 5282 7228 8398 9452 10376 10564 14456 16796 16861 18904 20752 21128 22049 24643 28912 30719 33592 33722 34333 37808 42256 44098 44897 49286 61438 67184 67444 68666 88196 89794 98572 122876 134888 137332 176392 179588 180283 197144 245752 269776 274664 286637 320359 352784 359176 360566 394288 418931 491504 549328 573274 583661 640718 718352 721132 837862 1146548 1167322 1281436 1442264 1675724 2293096 2334644 2343679 2562872 2884528 3064811 3351448 3425377 4586192 4669288 4687358 5125744 5446103 6129622 6702896 6850754 9338576 9374716 10892206 12259244 13701508 18749432 21784412 24518488 27403016 37498864 39842543 43568824 44529901 49036976 54806032 58231409 79685086 87137648 89059802 116462818 159370172 178119604 232925636 318740344 356239208 465851272 637480688 712478416 757008317 931702544 1514016634 3028033268 6056066536 12112133072