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12220301220 = 22351237916453
BaseRepresentation
bin10110110000110001…
…01111111110100100
31011112122122121210220
423120120233332210
5200011344114340
65340335244340
7611554563231
oct133030577644
934478577726
1012220301220
1152010501a6
1224506796b0
1311c99a938a
1483cda6788
154b7c89ed0
hex2d862ffa4

12220301220 has 48 divisors (see below), whose sum is σ = 34221687360. Its totient is φ = 3258285696.

The previous prime is 12220301179. The next prime is 12220301221. The reversal of 12220301220 is 2210302221.

It is a happy number.

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 12220301220.

It is not an unprimeable number, because it can be changed into a prime (12220301221) 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 15 ways as a sum of consecutive naturals, for example, 734514 + ... + 750966.

It is an arithmetic number, because the mean of its divisors is an integer number (712951820).

Almost surely, 212220301220 is an apocalyptic number.

12220301220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220301220 is an abundant number, since it is smaller than the sum of its proper divisors (22001386140).

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

12220301220 is a wasteful number, since it uses less digits than its factorization.

12220301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28844 (or 28842 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12220301220 its reverse (2210302221), we get a palindrome (14430603441).

The spelling of 12220301220 in words is "twelve billion, two hundred twenty million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 12379 16453 24758 32906 37137 49359 49516 61895 65812 74274 82265 98718 123790 148548 164530 185685 197436 246795 247580 329060 371370 493590 742740 987180 203671687 407343374 611015061 814686748 1018358435 1222030122 2036716870 2444060244 3055075305 4073433740 6110150610 12220301220