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12219216100 = 225271397109127
BaseRepresentation
bin10110110000101001…
…00111000011100100
31011112120121111022021
423120110213003210
5200011104403400
65340300112524
7611542423510
oct133024470344
934476544267
1012219216100
115200479a03
122450235744
1311c96b94b0
1483cba3140
154b7b2371a
hex2d85270e4

12219216100 has 288 divisors, whose sum is σ = 33535631360. Its totient is φ = 3762339840.

The previous prime is 12219216073. The next prime is 12219216109. The reversal of 12219216100 is 161291221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12219216109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96214237 + ... + 96214363.

Almost surely, 212219216100 is an apocalyptic number.

12219216100 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 12219216100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16767815680).

12219216100 is an abundant number, since it is smaller than the sum of its proper divisors (21316415260).

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

12219216100 is a wasteful number, since it uses less digits than its factorization.

12219216100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 12219216100 in words is "twelve billion, two hundred nineteen million, two hundred sixteen thousand, one hundred".