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111021120012 = 2231131149182089
BaseRepresentation
bin110011101100101011…
…1111101101000001100
3101121120020211020200210
41213121113331220030
53304332401320022
6123000303522420
711010130643505
oct1473127755014
9347506736623
10111021120012
11430a1589750
12196248b9410
13a613c2022a
145532a6bbac
152d4ba9ba0c
hex19d95fda0c

111021120012 has 96 divisors (see below), whose sum is σ = 293674752000. Its totient is φ = 32338828800.

The previous prime is 111021120011. The next prime is 111021120061. The reversal of 111021120012 is 210021120111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 111021120012.

It is not an unprimeable number, because it can be changed into a prime (111021120011) 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, 518664 + ... + 700752.

It is an arithmetic number, because the mean of its divisors is an integer number (3059112000).

Almost surely, 2111021120012 is an apocalyptic number.

111021120012 is a gapful number since it is divisible by the number (12) 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 111021120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146837376000).

111021120012 is an abundant number, since it is smaller than the sum of its proper divisors (182653631988).

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

111021120012 is a wasteful number, since it uses less digits than its factorization.

111021120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182287 (or 182285 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 111021120012 its reverse (210021120111), we get a palindrome (321042240123).

Subtracting 111021120012 from its reverse (210021120111), we obtain a palindrome (99000000099).

The spelling of 111021120012 in words is "one hundred eleven billion, twenty-one million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 149 186 298 341 372 447 596 682 894 1023 1364 1639 1788 2046 3278 4092 4619 4917 6556 9238 9834 13857 18476 19668 27714 50809 55428 101618 152427 182089 203236 304854 364178 546267 609708 728356 1092534 2002979 2185068 4005958 5644759 6008937 8011916 11289518 12017874 16934277 22579036 24035748 27131261 33868554 54262522 62092349 67737108 81393783 108525044 124184698 162787566 186277047 248369396 298443871 325575132 372554094 596887742 745108188 841069091 895331613 1193775484 1682138182 1790663226 2523207273 3364276364 3581326452 5046414546 9251760001 10092829092 18503520002 27755280003 37007040004 55510560006 111021120012