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112420101200 = 245211157162739
BaseRepresentation
bin110100010110011000…
…0101001110001010000
3101202011202020212002212
41220230300221301100
53320214021214300
6123351200531252
711056606044041
oct1505460516120
9352152225085
10112420101200
114374a241a50
1219955320b28
13a7a7a03054
1456267968c8
152dce7de935
hex1a2cc29c50

112420101200 has 120 divisors (see below), whose sum is σ = 296521393440. Its totient is φ = 40619404800.

The previous prime is 112420101149. The next prime is 112420101223. The reversal of 112420101200 is 2101024211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609431 + ... + 772169.

It is an arithmetic number, because the mean of its divisors is an integer number (2471011612).

Almost surely, 2112420101200 is an apocalyptic number.

112420101200 is a gapful number since it is divisible by the number (10) 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 112420101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148260696720).

112420101200 is an abundant number, since it is smaller than the sum of its proper divisors (184101292240).

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

112420101200 is a wasteful number, since it uses less digits than its factorization.

112420101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162925 (or 162914 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112420101200 its reverse (2101024211), we get a palindrome (114521125411).

The spelling of 112420101200 in words is "one hundred twelve billion, four hundred twenty million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 157 176 200 220 275 314 400 440 550 628 785 880 1100 1256 1570 1727 2200 2512 3140 3454 3925 4400 6280 6908 7850 8635 12560 13816 15700 17270 27632 31400 34540 43175 62800 69080 86350 138160 162739 172700 325478 345400 650956 690800 813695 1301912 1627390 1790129 2603824 3254780 3580258 4068475 6509560 7160516 8136950 8950645 13019120 14321032 16273900 17901290 25550023 28642064 32547800 35802580 44753225 51100046 65095600 71605160 89506450 102200092 127750115 143210320 179012900 204400184 255500230 281050253 358025800 408800368 511000460 562100506 638750575 716051600 1022000920 1124201012 1277501150 1405251265 2044001840 2248402024 2555002300 2810502530 4496804048 5110004600 5621005060 7026256325 10220009200 11242010120 14052512650 22484020240 28105025300 56210050600 112420101200