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120102210012 = 223193795314939
BaseRepresentation
bin110111111011010100…
…1100100100111011100
3102111000010111102021110
41233312221210213130
53431432131210022
6131101343102020
711451146640531
oct1576651444734
9374003442243
10120102210012
1146a31626004
121b339ba1910
13b430422a75
145b54b50d88
1531cde4500c
hex1bf6a649dc

120102210012 has 96 divisors (see below), whose sum is σ = 303298732800. Its totient is φ = 36860769792.

The previous prime is 120102210001. The next prime is 120102210017. The reversal of 120102210012 is 210012201021.

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

It is a self number, because there is not a number n which added to its sum of digits gives 120102210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120102210017) 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, 8032039 + ... + 8046977.

It is an arithmetic number, because the mean of its divisors is an integer number (3159361800).

Almost surely, 2120102210012 is an apocalyptic number.

120102210012 is a gapful number since it is divisible by the number (12) 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 120102210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151649366400).

120102210012 is an abundant number, since it is smaller than the sum of its proper divisors (183196522788).

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

120102210012 is a wasteful number, since it uses less digits than its factorization.

120102210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15955 (or 15953 counting only the distinct ones).

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

Adding to 120102210012 its reverse (210012201021), we get a palindrome (330114411033).

The spelling of 120102210012 in words is "one hundred twenty billion, one hundred two million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 444 703 953 1406 1906 2109 2812 2859 3812 4218 5718 8436 11436 14939 18107 29878 35261 36214 44817 54321 59756 70522 72428 89634 105783 108642 141044 179268 211566 217284 283841 423132 552743 567682 669959 851523 1105486 1135364 1339918 1658229 1703046 2009877 2210972 2679836 3316458 3406092 4019754 6632916 8039508 10502117 14236867 21004234 28473734 31506351 42008468 42710601 56947468 63012702 85421202 126025404 170842404 270500473 526764079 541000946 811501419 1053528158 1082001892 1580292237 1623002838 2107056316 3160584474 3246005676 6321168948 10008517501 20017035002 30025552503 40034070004 60051105006 120102210012