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120011211112 = 231323139360949
BaseRepresentation
bin110111111000100111…
…0011100000101101000
3102110202210021012020211
41233301032130011220
53431240332223422
6131044332430504
711445663314602
oct1576116340550
9373683235224
10120011211112
1146995222201
121b313618434
13b417611270
145b46a24172
1531c5e6c577
hex1bf139c168

120011211112 has 64 divisors (see below), whose sum is σ = 254686320000. Its totient is φ = 52600230144.

The previous prime is 120011211097. The next prime is 120011211149. The reversal of 120011211112 is 211112110021.

It is a happy number.

120011211112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 120011211092 and 120011211101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152014 + ... + 512962.

It is an arithmetic number, because the mean of its divisors is an integer number (3979473750).

Almost surely, 2120011211112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120011211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127343160000).

120011211112 is an abundant number, since it is smaller than the sum of its proper divisors (134675108888).

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

120011211112 is a wasteful number, since it uses less digits than its factorization.

120011211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361130 (or 361126 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 120011211112 its reverse (211112110021), we get a palindrome (331123321133).

The spelling of 120011211112 in words is "one hundred twenty billion, eleven million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 139 184 278 299 556 598 1112 1196 1807 2392 3197 3614 6394 7228 12788 14456 25576 41561 83122 166244 332488 360949 721898 1443796 2887592 4692337 8301827 9384674 16603654 18769348 33207308 37538696 50171911 66414616 100343822 107923751 200687644 215847502 401375288 431695004 652234843 863390008 1153953953 1304469686 2307907906 2608939372 4615815812 5217878744 9231631624 15001401389 30002802778 60005605556 120011211112