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12180014112 = 253718739677
BaseRepresentation
bin10110101011111110…
…00100010000100000
31011102211211211021210
423111333010100200
5144421040422422
65332335550120
7610555261140
oct132577042040
934384754253
1012180014112
115190333972
12243b08b340
1311c1541c56
148378ba920
154b447d10c
hex2d5fc4420

12180014112 has 96 divisors (see below), whose sum is σ = 36563329152. Its totient is φ = 3477786624.

The previous prime is 12180014081. The next prime is 12180014131. The reversal of 12180014112 is 21141008121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1253818 + ... + 1263494.

It is an arithmetic number, because the mean of its divisors is an integer number (380868012).

Almost surely, 212180014112 is an apocalyptic number.

12180014112 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 12180014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18281664576).

12180014112 is an abundant number, since it is smaller than the sum of its proper divisors (24383315040).

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

12180014112 is a wasteful number, since it uses less digits than its factorization.

12180014112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11570 (or 11562 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The spelling of 12180014112 in words is "twelve billion, one hundred eighty million, fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1873 3746 5619 7492 9677 11238 13111 14984 19354 22476 26222 29031 29968 38708 39333 44952 52444 58062 59936 67739 77416 78666 89904 104888 116124 135478 154832 157332 179808 203217 209776 232248 270956 309664 314664 406434 419552 464496 541912 629328 812868 928992 1083824 1258656 1625736 2167648 3251472 6502944 18125021 36250042 54375063 72500084 108750126 126875147 145000168 217500252 253750294 290000336 380625441 435000504 507500588 580000672 761250882 870001008 1015001176 1522501764 1740002016 2030002352 3045003528 4060004704 6090007056 12180014112