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12213222144 = 283172813329
BaseRepresentation
bin10110101111111011…
…01111101100000000
31011112011022222010220
423113331233230000
5200003041102034
65335523423040
7611440450434
oct132775575400
934464288126
1012213222144
1151a8055622
12244a224a80
1311c839b186
1483c0829c4
154b733c749
hex2d7f6fb00

12213222144 has 144 divisors (see below), whose sum is σ = 34549895520. Its totient is φ = 3816816640.

The previous prime is 12213222143. The next prime is 12213222169. The reversal of 12213222144 is 44122231221.

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 not an unprimeable number, because it can be changed into a prime (12213222143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3667072 + ... + 3670400.

It is an arithmetic number, because the mean of its divisors is an integer number (239929830).

Almost surely, 212213222144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12213222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17274947760).

12213222144 is an abundant number, since it is smaller than the sum of its proper divisors (22336673376).

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

12213222144 is a wasteful number, since it uses less digits than its factorization.

12213222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646 (or 3632 counting only the distinct ones).

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

Adding to 12213222144 its reverse (44122231221), we get a palindrome (56335453365).

The spelling of 12213222144 in words is "twelve billion, two hundred thirteen million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 281 384 408 544 562 768 816 843 1088 1124 1632 1686 2176 2248 3264 3329 3372 4352 4496 4777 6528 6658 6744 8992 9554 9987 13056 13316 13488 14331 17984 19108 19974 26632 26976 28662 35968 38216 39948 53264 53952 56593 57324 71936 76432 79896 106528 107904 113186 114648 152864 159792 169779 213056 215808 226372 229296 305728 319584 339558 426112 452744 458592 611456 639168 679116 852224 905488 917184 935449 1222912 1278336 1358232 1810976 1834368 1870898 2556672 2716464 2806347 3621952 3668736 3741796 5432928 5612694 7243904 7483592 10865856 11225388 14487808 14967184 15902633 21731712 22450776 29934368 31805266 43463424 44901552 47707899 59868736 63610532 89803104 95415798 119737472 127221064 179606208 190831596 239474944 254442128 359212416 381663192 508884256 718424832 763326384 1017768512 1526652768 2035537024 3053305536 4071074048 6106611072 12213222144