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12220854912 = 2735737241
BaseRepresentation
bin10110110000110101…
…10111001010000000
31011112200200202100000
423120122313022000
5200012014324122
65340355200000
7611562360420
oct133032671200
934480622300
1012220854912
1152013991a2
1224508a6000
1311c9b413c6
1483d0ac480
154b7d490ac
hex2d86b7280

12220854912 has 576 divisors, whose sum is σ = 43880840640. Its totient is φ = 3314442240.

The previous prime is 12220854901. The next prime is 12220854917. The reversal of 12220854912 is 21945802221.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12220854917) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 298069612 + ... + 298069652.

It is an arithmetic number, because the mean of its divisors is an integer number (76182015).

Almost surely, 212220854912 is an apocalyptic number.

12220854912 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 12220854912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21940420320).

12220854912 is an abundant number, since it is smaller than the sum of its proper divisors (31659985728).

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

12220854912 is an frugal number, since it uses more digits than its factorization.

12220854912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12220854912 in words is "twelve billion, two hundred twenty million, eight hundred fifty-four thousand, nine hundred twelve".