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120001201112 = 231313741920101
BaseRepresentation
bin110111111000010100…
…0010000001111011000
3102110202002102122010002
41233300220100033120
53431230301413422
6131043334112132
711445512244122
oct1576050201730
9373662378102
10120001201112
114698a605581
121b3101ab648
13b415517ca0
145b4557a212
1531c5141692
hex1bf0a103d8

120001201112 has 64 divisors (see below), whose sum is σ = 244673503200. Its totient is φ = 54846950400.

The previous prime is 120001201109. The next prime is 120001201157. The reversal of 120001201112 is 211102100021.

It is a junction number, because it is equal to n+sod(n) for n = 120001201093 and 120001201102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5959862 + ... + 5979962.

Almost surely, 2120001201112 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 120001201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122336751600).

120001201112 is an abundant number, since it is smaller than the sum of its proper divisors (124672302088).

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

120001201112 is a wasteful number, since it uses less digits than its factorization.

120001201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20676 (or 20672 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120001201112 its reverse (211102100021), we get a palindrome (331103301133).

The spelling of 120001201112 in words is "one hundred twenty billion, one million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 137 274 419 548 838 1096 1676 1781 3352 3562 5447 7124 10894 14248 20101 21788 40202 43576 57403 80404 114806 160808 229612 261313 459224 522626 746239 1045252 1492478 2090504 2753837 2984956 5507674 5969912 8422319 11015348 16844638 22030696 33689276 35799881 67378552 71599762 109490147 143199524 218980294 286399048 437960588 875921176 1153857703 2307715406 4615430812 9230861624 15000150139 30000300278 60000600556 120001201112