Search a number
-
+
12001401342 = 2337219123747
BaseRepresentation
bin10110010110101011…
…01101100111111110
31010222101202100122000
423023111231213332
5144034324320332
65302515403130
7603256141200
oct131325554776
933871670560
1012001401342
1150a9529507
1223ab2b34a6
131193535618
1481bca4770
154a394ab7c
hex2cb56d9fe

12001401342 has 96 divisors (see below), whose sum is σ = 31187773440. Its totient is φ = 3410875440.

The previous prime is 12001401341. The next prime is 12001401389. The reversal of 12001401342 is 24310410021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001401341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493513 + ... + 517259.

It is an arithmetic number, because the mean of its divisors is an integer number (324872640).

Almost surely, 212001401342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001401342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15593886720).

12001401342 is an abundant number, since it is smaller than the sum of its proper divisors (19186372098).

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

12001401342 is a wasteful number, since it uses less digits than its factorization.

12001401342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23963 (or 23950 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12001401342 its reverse (24310410021), we get a palindrome (36311811363).

The spelling of 12001401342 in words is "twelve billion, one million, four hundred one thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 191 294 378 382 441 573 882 1146 1323 1337 1719 2646 2674 3438 4011 5157 8022 9359 10314 12033 18718 23747 24066 28077 36099 47494 56154 71241 72198 84231 142482 166229 168462 213723 252693 332458 427446 498687 505386 641169 997374 1163603 1282338 1496061 2327206 2992122 3490809 4488183 4535677 6981618 8976366 9071354 10472427 13607031 20944854 27214062 31417281 31749739 40821093 62834562 63499478 81642186 95249217 122463279 190498434 222248173 244926558 285747651 444496346 571495302 666744519 857242953 1333489038 1714485906 2000233557 4000467114 6000700671 12001401342