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112120102102000 = 2453131467391577
BaseRepresentation
bin11001011111100011111110…
…110110111010001111110000
3112200222120120200200120012011
4121133203332312322033300
5104143433432114231000
61034243132553412304
732421260436165526
oct3137437666721760
9480876520616164
10112120102102000
11327a7960742913
12106a976340a094
134a73b59c1b375
141d988db514316
15ce677b6132ba
hex65f8fedba3f0

112120102102000 has 160 divisors (see below), whose sum is σ = 273237363457344. Its totient is φ = 44495679488000.

The previous prime is 112120102101989. The next prime is 112120102102003. The reversal of 112120102102000 is 201201021211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112120102102003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1224280212 + ... + 1224371788.

Almost surely, 2112120102102000 is an apocalyptic number.

112120102102000 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 112120102102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136618681728672).

112120102102000 is an abundant number, since it is smaller than the sum of its proper divisors (161117261355344).

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

112120102102000 is a wasteful number, since it uses less digits than its factorization.

112120102102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96404 (or 96388 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112120102102000 its reverse (201201021211), we get a palindrome (112321303123211).

The spelling of 112120102102000 in words is "one hundred twelve trillion, one hundred twenty billion, one hundred two million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 131 200 250 262 400 500 524 655 1000 1048 1310 2000 2096 2620 3275 4673 5240 6550 9346 10480 13100 16375 18692 23365 26200 32750 37384 46730 52400 65500 74768 91577 93460 116825 131000 183154 186920 233650 262000 366308 373840 457885 467300 584125 612163 732616 915770 934600 1168250 1224326 1465232 1831540 1869200 2289425 2336500 2448652 3060815 3663080 4578850 4673000 4897304 6121630 7326160 9157700 9346000 9794608 11447125 11996587 12243260 15304075 18315400 22894250 23993174 24486520 30608150 36630800 45788500 47986348 48973040 59982935 61216300 76520375 91577000 95972696 119965870 122432600 153040750 183154000 191945392 239931740 244865200 299914675 306081500 427939321 479863480 599829350 612163000 855878642 959726960 1199658700 1224326000 1499573375 1711757284 2139696605 2399317400 2999146750 3423514568 4279393210 4798634800 5998293500 6847029136 8558786420 10698483025 11996587000 17117572840 21396966050 23993174000 34235145680 42793932100 53492415125 56060051051 85587864200 106984830250 112120102102 171175728400 213969660500 224240204204 280300255255 427939321000 448480408408 560600510510 855878642000 896960816816 1121201021020 1401501276275 2242402042040 2803002552550 4484804084080 5606005105100 7007506381375 11212010210200 14015012762750 22424020420400 28030025525500 56060051051000 112120102102000