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12222312144 = 243736375929
BaseRepresentation
bin10110110001000000…
…11010111011010000
31011112210102210021120
423120200122323100
5200012402442034
65340450322240
7611610640050
oct133040327320
934483383246
1012222312144
1152021a4019
122451289380
1311ca231783
1483d36b560
154b8035c49
hex2d881aed0

12222312144 has 40 divisors (see below), whose sum is σ = 36084922560. Its totient is φ = 3492089088.

The previous prime is 12222312103. The next prime is 12222312149. The reversal of 12222312144 is 44121322221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222312149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18187629 + ... + 18188300.

It is an arithmetic number, because the mean of its divisors is an integer number (902123064).

Almost surely, 212222312144 is an apocalyptic number.

12222312144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12222312144 is an abundant number, since it is smaller than the sum of its proper divisors (23862610416).

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

12222312144 is a wasteful number, since it uses less digits than its factorization.

12222312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36375947 (or 36375941 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 12222312144 its reverse (44121322221), we get a palindrome (56343634365).

The spelling of 12222312144 in words is "twelve billion, two hundred twenty-two million, three hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 36375929 72751858 109127787 145503716 218255574 254631503 291007432 436511148 509263006 582014864 763894509 873022296 1018526012 1527789018 1746044592 2037052024 3055578036 4074104048 6111156072 12222312144