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112120120020 = 22357141776301
BaseRepresentation
bin110100001101011100…
…0010100001011010100
3101201101211210020021210
41220122320110023110
53314110222320040
6123301323141420
711046304203246
oct1503270241324
9351354706253
10112120120020
1143605980717
1219890974870
13a75a8109ac
1455d89ca096
152db32d6480
hex1a1ae142d4

112120120020 has 96 divisors (see below), whose sum is σ = 318484728576. Its totient is φ = 29465856000.

The previous prime is 112120119997. The next prime is 112120120027. The reversal of 112120120020 is 20021021211.

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

It is a junction number, because it is equal to n+sod(n) for n = 112120119978 and 112120120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112120120027) 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, 17790870 + ... + 17797170.

It is an arithmetic number, because the mean of its divisors is an integer number (3317549256).

Almost surely, 2112120120020 is an apocalyptic number.

112120120020 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 112120120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159242364288).

112120120020 is an abundant number, since it is smaller than the sum of its proper divisors (206364608556).

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

112120120020 is a wasteful number, since it uses less digits than its factorization.

112120120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10561 (or 10559 counting only the distinct ones).

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

Adding to 112120120020 its reverse (20021021211), we get a palindrome (132141141231).

The spelling of 112120120020 in words is "one hundred twelve billion, one hundred twenty million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4177 4260 6301 8354 12531 12602 16708 18903 20885 25062 25204 31505 37806 41770 50124 62655 63010 75612 83540 94515 125310 126020 189030 250620 296567 378060 447371 593134 889701 894742 1186268 1342113 1482835 1779402 1789484 2236855 2684226 2965670 3558804 4448505 4473710 5368452 5931340 6710565 8897010 8947420 13421130 17794020 26319277 26842260 52638554 78957831 105277108 131596385 157915662 263192770 315831324 394789155 526385540 789578310 1579156620 1868668667 3737337334 5606006001 7474674668 9343343335 11212012002 18686686670 22424024004 28030030005 37373373340 56060060010 112120120020