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12221020100 = 22522322923203
BaseRepresentation
bin10110110000110110…
…11111011111000100
31011112201000010221002
423120123133133010
5200012040120400
65340402512432
7611563646132
oct133033373704
934481003832
1012221020100
1152014a1313
122450965718
1311c9b9b653
1483d112752
154b7d7ced5
hex2d86df7c4

12221020100 has 72 divisors (see below), whose sum is σ = 27794679360. Its totient is φ = 4655249280.

The previous prime is 12221020093. The next prime is 12221020127. The reversal of 12221020100 is 102012221.

It is a happy number.

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, 515099 + ... + 538301.

Almost surely, 212221020100 is an apocalyptic number.

12221020100 is a gapful number since it is divisible by the number (10) 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 12221020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13897339680).

12221020100 is an abundant number, since it is smaller than the sum of its proper divisors (15573659260).

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

12221020100 is a wasteful number, since it uses less digits than its factorization.

12221020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23469 (or 23462 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12221020100 its reverse (102012221), we get a palindrome (12323032321).

The spelling of 12221020100 in words is "twelve billion, two hundred twenty-one million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 229 230 458 460 575 916 1145 1150 2290 2300 4580 5267 5725 10534 11450 21068 22900 23203 26335 46406 52670 92812 105340 116015 131675 232030 263350 464060 526700 533669 580075 1067338 1160150 2134676 2320300 2668345 5313487 5336690 10626974 10673380 13341725 21253948 26567435 26683450 53134870 53366900 106269740 122210201 132837175 244420402 265674350 488840804 531348700 611051005 1222102010 2444204020 3055255025 6110510050 12221020100