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12211131210 = 2352973192271
BaseRepresentation
bin10110101111101011…
…10001001101001010
31011112000101201220220
423113311301031022
5200002022144320
65335410530510
7611413621425
oct132765611512
934460351826
1012211131210
1151a6957683
122449596a36
1311c7b18535
1483ba9a9bc
154b7077e40
hex2d7d7134a

12211131210 has 64 divisors (see below), whose sum is σ = 30732756480. Its totient is φ = 3100930560.

The previous prime is 12211131209. The next prime is 12211131217. The reversal of 12211131210 is 1213111221.

It is a super-2 number, since 2×122111312102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12211131210.

It is not an unprimeable number, because it can be changed into a prime (12211131217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32626 + ... + 159645.

It is an arithmetic number, because the mean of its divisors is an integer number (480199320).

Almost surely, 212211131210 is an apocalyptic number.

12211131210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12211131210 is an abundant number, since it is smaller than the sum of its proper divisors (18521625270).

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

12211131210 is a wasteful number, since it uses less digits than its factorization.

12211131210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192383.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12211131210 its reverse (1213111221), we get a palindrome (13424242431).

The spelling of 12211131210 in words is "twelve billion, two hundred eleven million, one hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 73 87 145 146 174 219 290 365 435 438 730 870 1095 2117 2190 4234 6351 10585 12702 21170 31755 63510 192271 384542 576813 961355 1153626 1922710 2884065 5575859 5768130 11151718 14035783 16727577 27879295 28071566 33455154 42107349 55758590 70178915 83637885 84214698 140357830 167275770 210536745 407037707 421073490 814075414 1221113121 2035188535 2442226242 4070377070 6105565605 12211131210