Search a number
-
+
12100111001120 = 2551711233961327
BaseRepresentation
bin1011000000010100011011…
…0100010110011000100000
31120211202111112120212221202
42300011012310112120200
53041222011404013440
641422414140140332
72356130013332312
oct260050664263040
946752445525852
1012100111001120
1139456a023576a
1214350ba8376a8
1369a0601c525c
142db9116957b2
1515eb41c84615
hexb0146d16620

12100111001120 has 96 divisors (see below), whose sum is σ = 30295032300288. Its totient is φ = 4551278358528.

The previous prime is 12100111001071. The next prime is 12100111001123. The reversal of 12100111001120 is 2110011100121.

It is not an unprimeable number, because it can be changed into a prime (12100111001123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1073897 + ... + 5035223.

It is an arithmetic number, because the mean of its divisors is an integer number (315573253128).

Almost surely, 212100111001120 is an apocalyptic number.

12100111001120 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 12100111001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15147516150144).

12100111001120 is an abundant number, since it is smaller than the sum of its proper divisors (18194921299168).

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

12100111001120 is a wasteful number, since it uses less digits than its factorization.

12100111001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962482 (or 3962474 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12100111001120 its reverse (2110011100121), we get a palindrome (14210122101241).

Subtracting from 12100111001120 its reverse (2110011100121), we obtain a palindrome (9990099900999).

The spelling of 12100111001120 in words is "twelve trillion, one hundred billion, one hundred eleven million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1123 1360 2246 2720 4492 5615 8984 11230 17968 19091 22460 35936 38182 44920 76364 89840 95455 152728 179680 190910 305456 381820 610912 763640 1527280 3054560 3961327 7922654 15845308 19806635 31690616 39613270 63381232 67342559 79226540 126762464 134685118 158453080 269370236 316906160 336712795 538740472 633812320 673425590 1077480944 1346851180 2154961888 2693702360 4448570221 5387404720 8897140442 10774809440 17794280884 22242851105 35588561768 44485702210 71177123536 75625693757 88971404420 142354247072 151251387514 177942808840 302502775028 355885617680 378128468785 605005550056 711771235360 756256937570 1210011100112 1512513875140 2420022200224 3025027750280 6050055500560 12100111001120