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12102440322 = 237283975113
BaseRepresentation
bin10110100010101110…
…01001010110000010
31011020102212200001110
423101113021112002
5144241211042242
65320525144150
7605624021400
oct132127112602
934212780043
1012102440322
11515056a5a5
1224190bb056
1311ab450cbb
1482b486470
154ac75839c
hex2d15c9582

12102440322 has 96 divisors (see below), whose sum is σ = 28795338432. Its totient is φ = 3380299776.

The previous prime is 12102440309. The next prime is 12102440323. The reversal of 12102440322 is 22304420121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12102440323) 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, 2364438 + ... + 2369550.

It is an arithmetic number, because the mean of its divisors is an integer number (299951442).

Almost surely, 212102440322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102440322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14397669216).

12102440322 is an abundant number, since it is smaller than the sum of its proper divisors (16692898110).

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

12102440322 is a wasteful number, since it uses less digits than its factorization.

12102440322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5312 (or 5305 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12102440322 its reverse (22304420121), we get a palindrome (34406860443).

The spelling of 12102440322 in words is "twelve billion, one hundred two million, four hundred forty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 83 97 98 147 166 194 249 291 294 498 581 582 679 1162 1358 1743 2037 3486 4067 4074 4753 5113 8051 8134 9506 10226 12201 14259 15339 16102 24153 24402 28518 30678 35791 48306 56357 71582 107373 112714 169071 214746 250537 338142 394499 424379 495961 501074 751611 788998 848758 991922 1183497 1273137 1487883 1503222 2366994 2546274 2970653 2975766 3471727 5941306 6943454 8911959 10415181 17823918 20794571 20830362 24302089 41164763 41589142 48604178 62383713 72906267 82329526 123494289 124767426 145812534 246988578 288153341 576306682 864460023 1728920046 2017073387 4034146774 6051220161 12102440322