Search a number
-
+
12120110032 = 241924348799
BaseRepresentation
bin10110100100110101…
…00011001111010000
31011021200010101100011
423102122203033100
5144310222010112
65322400004304
7606230143522
oct132232431720
934250111304
1012120110032
11515a539068
122423000694
1311b1cc9854
1482d965a12
154ae098aa7
hex2d26a33d0

12120110032 has 60 divisors (see below), whose sum is σ = 25360579200. Its totient is φ = 5607475776.

The previous prime is 12120110029. The next prime is 12120110039. The reversal of 12120110032 is 23001102121.

It is a junction number, because it is equal to n+sod(n) for n = 12120109994 and 12120110021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120110039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223969 + ... + 272767.

It is an arithmetic number, because the mean of its divisors is an integer number (422676320).

Almost surely, 212120110032 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 12120110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12680289600).

12120110032 is an abundant number, since it is smaller than the sum of its proper divisors (13240469168).

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

12120110032 is a wasteful number, since it uses less digits than its factorization.

12120110032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48888 (or 48863 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12120110032 its reverse (23001102121), we get a palindrome (35121212153).

The spelling of 12120110032 in words is "twelve billion, one hundred twenty million, one hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 16 19 38 43 76 86 152 172 304 344 361 688 722 817 1444 1634 2888 3268 5776 6536 13072 15523 31046 48799 62092 97598 124184 195196 248368 390392 780784 927181 1854362 2098357 3708724 4196714 7417448 8393428 14834896 16786856 17616439 33573712 35232878 39868783 70465756 79737566 140931512 159475132 281863024 318950264 637900528 757506877 1515013754 3030027508 6060055016 12120110032