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112201200012 = 2231123149248033
BaseRepresentation
bin110100001111110110…
…1100111000110001100
3101201121111100112010110
41220133231213012030
53314242001400022
6123313341040020
711051310315126
oct1503755470614
9351544315113
10112201200012
114364771a280
12198b3b56010
13a77155b815
145605694216
152dba4a000c
hex1a1fb6718c

112201200012 has 96 divisors (see below), whose sum is σ = 300021926400. Its totient is φ = 32303687680.

The previous prime is 112201199923. The next prime is 112201200031. The reversal of 112201200012 is 210002102211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328348 + ... + 576380.

It is an arithmetic number, because the mean of its divisors is an integer number (3125228400).

Almost surely, 2112201200012 is an apocalyptic number.

112201200012 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 112201200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150010963200).

112201200012 is an abundant number, since it is smaller than the sum of its proper divisors (187820726388).

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

112201200012 is a wasteful number, since it uses less digits than its factorization.

112201200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248223 (or 248221 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112201200012 its reverse (210002102211), we get a palindrome (322203302223).

It can be divided in two parts, 112201 and 200012, that added together give a palindrome (312213).

The spelling of 112201200012 in words is "one hundred twelve billion, two hundred one million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 149 253 276 298 447 506 596 759 894 1012 1518 1639 1788 3036 3278 3427 4917 6556 6854 9834 10281 13708 19668 20562 37697 41124 75394 113091 150788 226182 248033 452364 496066 744099 992132 1488198 2728363 2976396 5456726 5704759 8185089 10913452 11409518 16370178 17114277 22819036 32740356 34228554 36956917 62752349 68457108 73913834 110870751 125504698 147827668 188257047 221741502 251009396 376514094 406526087 443483004 753028188 813052174 850009091 1219578261 1626104348 1700018182 2439156522 2550027273 3400036364 4878313044 5100054546 9350100001 10200109092 18700200002 28050300003 37400400004 56100600006 112201200012