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120001112 = 237111910253
BaseRepresentation
bin1110010011100…
…01001001011000
322100210200120122
413021301021120
5221210013422
615524012412
72654664320
oct711611130
9270720518
10120001112
1161812680
1234231108
131bb2759a
1411d1a280
15a805d42
hex7271258

120001112 has 64 divisors (see below), whose sum is σ = 295315200. Its totient is φ = 44288640.

The previous prime is 120001111. The next prime is 120001117. The reversal of 120001112 is 211100021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 120001112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120001111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6578 + ... + 16830.

It is an arithmetic number, because the mean of its divisors is an integer number (4614300).

Almost surely, 2120001112 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 120001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147657600).

120001112 is an abundant number, since it is smaller than the sum of its proper divisors (175314088).

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

120001112 is a wasteful number, since it uses less digits than its factorization.

120001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10296 (or 10292 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 120001112 is about 10954.5019056094. The cubic root of 120001112 is about 493.2439384324.

Adding to 120001112 its reverse (211100021), we get a palindrome (331101133).

The spelling of 120001112 in words is "one hundred twenty million, one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 209 266 308 418 532 616 836 1064 1463 1672 2926 5852 10253 11704 20506 41012 71771 82024 112783 143542 194807 225566 287084 389614 451132 574168 779228 789481 902264 1363649 1558456 1578962 2142877 2727298 3157924 4285754 5454596 6315848 8571508 10909192 15000139 17143016 30000278 60000556 120001112