Search a number
-
+
112012101211200 = 2635223335854419
BaseRepresentation
bin11001011101111111011001…
…100000001101010001000000
3112200121020210220221212002120
4121131333121200031101000
5104140201240402224300
61034121352055444240
732410415200600011
oct3135773140152100
9480536726855076
10112012101211200
1132766079a91073
1210690842086680
134a66907946218
141d935b3a37008
15ce3a59ca43a0
hex65dfd980d440

112012101211200 has 84 divisors (see below), whose sum is σ = 367493035406160. Its totient is φ = 29869893655040.

The previous prime is 112012101211151. The next prime is 112012101211211. The reversal of 112012101211200 is 2112101210211.

It is a happy number.

It is a super-2 number, since 2×1120121012112002 (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 112012101211200.

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, 11667922410 + ... + 11667932009.

Almost surely, 2112012101211200 is an apocalyptic number.

112012101211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112012101211200 is an abundant number, since it is smaller than the sum of its proper divisors (255480934194960).

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

112012101211200 is a wasteful number, since it uses less digits than its factorization.

112012101211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23335854444 (or 23335854429 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112012101211200 its reverse (2112101210211), we get a palindrome (114124202421411).

The spelling of 112012101211200 in words is "one hundred twelve trillion, twelve billion, one hundred one million, two hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 23335854419 46671708838 70007563257 93343417676 116679272095 140015126514 186686835352 233358544190 280030253028 350037816285 373373670704 466717088380 560060506056 583396360475 700075632570 746747341408 933434176760 1120121012112 1166792720950 1400151265140 1493494682816 1750189081425 1866868353520 2240242024224 2333585441900 2800302530280 3500378162850 3733736707040 4480484048448 4667170883800 5600605060560 7000756325700 7467473414080 9334341767600 11201210121120 14001512651400 18668683535200 22402420242240 28003025302800 37337367070400 56006050605600 112012101211200