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12101211024 = 2437233154573
BaseRepresentation
bin10110100010100100…
…11101001110010000
31011020100120012202220
423101102131032100
5144240402223044
65320442541040
7605610411420
oct132122351620
934210505686
1012101211024
11514a8aaa51
122418807780
1311ab1105c6
1482b246480
154ac5b4019
hex2d149d390

12101211024 has 80 divisors (see below), whose sum is σ = 35880953472. Its totient is φ = 3442627584.

The previous prime is 12101211011. The next prime is 12101211043. The reversal of 12101211024 is 42011210121.

It is a junction number, because it is equal to n+sod(n) for n = 12101210994 and 12101211012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1002 + ... + 155574.

Almost surely, 212101211024 is an apocalyptic number.

12101211024 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 12101211024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17940476736).

12101211024 is an abundant number, since it is smaller than the sum of its proper divisors (23779742448).

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

12101211024 is a wasteful number, since it uses less digits than its factorization.

12101211024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154824 (or 154818 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12101211024 its reverse (42011210121), we get a palindrome (54112421145).

The spelling of 12101211024 in words is "twelve billion, one hundred one million, two hundred eleven thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 233 336 466 699 932 1398 1631 1864 2796 3262 3728 4893 5592 6524 9786 11184 13048 19572 26096 39144 78288 154573 309146 463719 618292 927438 1082011 1236584 1854876 2164022 2473168 3246033 3709752 4328044 6492066 7419504 8656088 12984132 17312176 25968264 36015509 51936528 72031018 108046527 144062036 216093054 252108563 288124072 432186108 504217126 576248144 756325689 864372216 1008434252 1512651378 1728744432 2016868504 3025302756 4033737008 6050605512 12101211024