Search a number
-
+
120201222112 = 25291259102881
BaseRepresentation
bin110111111110010001…
…1010001011111100000
3102111021000210202100021
41233330203101133200
53432133003101422
6131115241203224
711453461346536
oct1577443213740
9374230722307
10120201222112
1146a82502294
121b367190514
13b447aab9ca
145b63d66156
1531d79a1dc7
hex1bfc8d17e0

120201222112 has 48 divisors (see below), whose sum is σ = 245003194800. Its totient is φ = 57981521920.

The previous prime is 120201222107. The next prime is 120201222187. The reversal of 120201222112 is 211222102021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1116912 + ... + 1219792.

It is an arithmetic number, because the mean of its divisors is an integer number (5104233225).

Almost surely, 2120201222112 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 120201222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122501597400).

120201222112 is an abundant number, since it is smaller than the sum of its proper divisors (124801972688).

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

120201222112 is a wasteful number, since it uses less digits than its factorization.

120201222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104179 (or 104171 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120201222112 its reverse (211222102021), we get a palindrome (331423324133).

The spelling of 120201222112 in words is "one hundred twenty billion, two hundred one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 1259 2518 5036 10072 20144 36511 40288 73022 102881 146044 205762 292088 411524 584176 823048 1168352 1646096 2983549 3292192 5967098 11934196 23868392 47736784 95473568 129527179 259054358 518108716 1036217432 2072434864 3756288191 4144869728 7512576382 15025152764 30050305528 60100611056 120201222112