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12112223120 = 245799072113
BaseRepresentation
bin10110100011111000…
…11101101110010000
31011021010021200112022
423101330131232100
5144301212114440
65321514551012
7606103124564
oct132174355620
934233250468
1012112223120
115156041558
122420438468
1311b0497a3a
1482c8b16a4
154ad53bcb5
hex2d1f1db90

12112223120 has 80 divisors (see below), whose sum is σ = 28562338560. Its totient is φ = 4776026112.

The previous prime is 12112223107. The next prime is 12112223147. The reversal of 12112223120 is 2132221121.

It is a tau number, because it is divible by the number of its divisors (80).

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, 5731184 + ... + 5733296.

It is an arithmetic number, because the mean of its divisors is an integer number (357029232).

Almost surely, 212112223120 is an apocalyptic number.

12112223120 is a gapful number since it is divisible by the number (10) 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 12112223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14281169280).

12112223120 is an abundant number, since it is smaller than the sum of its proper divisors (16450115440).

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

12112223120 is a wasteful number, since it uses less digits than its factorization.

12112223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12112223120 its reverse (2132221121), we get a palindrome (14244444241).

The spelling of 12112223120 in words is "twelve billion, one hundred twelve million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 907 1264 1580 1814 2113 3160 3628 4226 4535 6320 7256 8452 9070 10565 14512 16904 18140 21130 33808 36280 42260 71653 72560 84520 143306 166927 169040 286612 333854 358265 573224 667708 716530 834635 1146448 1335416 1433060 1669270 1916491 2670832 2866120 3338540 3832982 5732240 6677080 7665964 9582455 13354160 15331928 19164910 30663856 38329820 76659640 151402789 153319280 302805578 605611156 757013945 1211222312 1514027890 2422444624 3028055780 6056111560 12112223120