Search a number
-
+
120105001022232 = 233231311660927661
BaseRepresentation
bin11011010011110000011111…
…111010111111001100011000
3120202020221000000201121222210
4123103300133322333030120
5111220300020230202412
61103235250433115120
734204204614145332
oct3323603772771430
9522227000647883
10120105001022232
11352a6276a45336
12115791a19b8aa0
135202b12065365
14219318237a452
15dd431794983c
hex6d3c1febf318

120105001022232 has 64 divisors (see below), whose sum is σ = 315709129992960. Its totient is φ = 38002024860800.

The previous prime is 120105001022147. The next prime is 120105001022239. The reversal of 120105001022232 is 232220100501021.

It is a super-2 number, since 2×1201050010222322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120105001022199 and 120105001022208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120105001022239) 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, 830391519 + ... + 830536142.

It is an arithmetic number, because the mean of its divisors is an integer number (4932955156140).

Almost surely, 2120105001022232 is an apocalyptic number.

120105001022232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120105001022232 is an abundant number, since it is smaller than the sum of its proper divisors (195604128970728).

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

120105001022232 is a wasteful number, since it uses less digits than its factorization.

120105001022232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660927824 (or 1660927820 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 120105001022232 its reverse (232220100501021), we get a palindrome (352325101523253).

The spelling of 120105001022232 in words is "one hundred twenty trillion, one hundred five billion, one million, twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 131 138 184 262 276 393 524 552 786 1048 1572 3013 3144 6026 9039 12052 18078 24104 36156 72312 1660927661 3321855322 4982782983 6643710644 9965565966 13287421288 19931131932 38201336203 39862263864 76402672406 114604008609 152805344812 217581523591 229208017218 305610689624 435163047182 458416034436 652744570773 870326094364 916832068872 1305489141546 1740652188728 2610978283092 5004375042593 5221956566184 10008750085186 15013125127779 20017500170372 30026250255558 40035000340744 60052500511116 120105001022232