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12213133032 = 2332323732579
BaseRepresentation
bin10110101111111010…
…11001111011101000
31011112011011102220110
423113331121323220
5200003030224112
65335521454320
7611436626562
oct132775317350
934464142813
1012213133032
1151a7aa4681
12244a1a13a0
1311c8369749
1483c05c332
154b732113c
hex2d7f59ee8

12213133032 has 96 divisors (see below), whose sum is σ = 32016045600. Its totient is φ = 3882096768.

The previous prime is 12213132959. The next prime is 12213133057. The reversal of 12213133032 is 23033131221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4734319 + ... + 4736897.

It is an arithmetic number, because the mean of its divisors is an integer number (333500475).

Almost surely, 212213133032 is an apocalyptic number.

12213133032 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 12213133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16008022800).

12213133032 is an abundant number, since it is smaller than the sum of its proper divisors (19802912568).

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

12213133032 is a wasteful number, since it uses less digits than its factorization.

12213133032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12213133032 its reverse (23033131221), we get a palindrome (35246264253).

The spelling of 12213133032 in words is "twelve billion, two hundred thirteen million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 373 529 552 746 1058 1119 1492 1587 2116 2238 2579 2984 3174 4232 4476 5158 6348 7737 8579 8952 10316 12696 15474 17158 20632 25737 30948 34316 51474 59317 61896 68632 102948 118634 177951 197317 205896 237268 355902 394634 474536 591951 711804 789268 961967 1183902 1364291 1423608 1578536 1923934 2367804 2728582 2885901 3847868 4092873 4735608 5457164 5771802 7695736 8185746 10914328 11543604 16371492 22125241 23087208 32742984 44250482 66375723 88500964 132751446 177001928 265502892 508880543 531005784 1017761086 1526641629 2035522172 3053283258 4071044344 6106566516 12213133032