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12204402100 = 22521131335447
BaseRepresentation
bin10110101110111000…
…00110010110110100
31011111112201212022121
423113130012112310
5144443311331400
65335010405324
7611302464142
oct132734062664
934445655277
1012204402100
1151a3080a30
122447290844
1311c6600707
1483ac28592
154b669921a
hex2d77065b4

12204402100 has 72 divisors (see below), whose sum is σ = 28984269888. Its totient is φ = 4423660800.

The previous prime is 12204402073. The next prime is 12204402103. The reversal of 12204402100 is 120440221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12204402103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326577 + ... + 362023.

It is an arithmetic number, because the mean of its divisors is an integer number (402559304).

Almost surely, 212204402100 is an apocalyptic number.

12204402100 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 12204402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14492134944).

12204402100 is an abundant number, since it is smaller than the sum of its proper divisors (16779867788).

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

12204402100 is a wasteful number, since it uses less digits than its factorization.

12204402100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35785 (or 35778 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12204402100 its reverse (120440221), we get a palindrome (12324842321).

The spelling of 12204402100 in words is "twelve billion, two hundred four million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 313 550 626 1100 1252 1565 3130 3443 6260 6886 7825 13772 15650 17215 31300 34430 35447 68860 70894 86075 141788 172150 177235 344300 354470 389917 708940 779834 886175 1559668 1772350 1949585 3544700 3899170 7798340 9747925 11094911 19495850 22189822 38991700 44379644 55474555 110949110 122044021 221898220 244088042 277372775 488176084 554745550 610220105 1109491100 1220440210 2440880420 3051100525 6102201050 12204402100