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112122001021200 = 2435293435000851
BaseRepresentation
bin11001011111100101110000…
…000010101101100100010000
3112200222202111000211122121220
4121133211300002231210100
5104144001324230134300
61034244045230045040
732421355464554232
oct3137456002554420
9480882430748556
10112122001021200
11327a874561aa25
12106a9bb3349780
134a740a0463cb1
141d98a3b7ba252
15ce683d1aada0
hex65f9700ad910

112122001021200 has 60 divisors (see below), whose sum is σ = 359164143275088. Its totient is φ = 29899200272000.

The previous prime is 112122001021193. The next prime is 112122001021333. The reversal of 112122001021200 is 2120100221211.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1121220010212002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112122001021200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46717499226 + ... + 46717501625.

Almost surely, 2112122001021200 is an apocalyptic number.

112122001021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112122001021200 is an abundant number, since it is smaller than the sum of its proper divisors (247042142253888).

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

112122001021200 is a wasteful number, since it uses less digits than its factorization.

112122001021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93435000872 (or 93435000861 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112122001021200 its reverse (2120100221211), we get a palindrome (114242101242411).

The spelling of 112122001021200 in words is "one hundred twelve trillion, one hundred twenty-two billion, one million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 93435000851 186870001702 280305002553 373740003404 467175004255 560610005106 747480006808 934350008510 1121220010212 1401525012765 1494960013616 1868700017020 2242440020424 2335875021275 2803050025530 3737400034040 4484880040848 4671750042550 5606100051060 7007625063825 7474800068080 9343500085100 11212200102120 14015250127650 18687000170200 22424400204240 28030500255300 37374000340400 56061000510600 112122001021200