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12211411344 = 24311231005551
BaseRepresentation
bin10110101111101101…
…10101100110010000
31011112000220222012020
423113312311212100
5200002110130334
65335420531440
7611416166226
oct132766654620
934460828166
1012211411344
1151a70290a0
1224496b0b80
1311c7bb5bb2
1483bb30b16
154b70d0e49
hex2d7db5990

12211411344 has 80 divisors (see below), whose sum is σ = 35910273024. Its totient is φ = 3539536000.

The previous prime is 12211411319. The next prime is 12211411349. The reversal of 12211411344 is 44311411221.

It is a happy number.

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 (12211411349) 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, 490632 + ... + 514919.

Almost surely, 212211411344 is an apocalyptic number.

It is an amenable number.

12211411344 is an abundant number, since it is smaller than the sum of its proper divisors (23698861680).

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

12211411344 is a wasteful number, since it uses less digits than its factorization.

12211411344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005596 (or 1005590 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 12211411344 its reverse (44311411221), we get a palindrome (56522822565).

The spelling of 12211411344 in words is "twelve billion, two hundred eleven million, four hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 4048 6072 12144 1005551 2011102 3016653 4022204 6033306 8044408 11061061 12066612 16088816 22122122 23127673 24133224 33183183 44244244 46255346 48266448 66366366 69383019 88488488 92510692 132732732 138766038 176976976 185021384 254404403 265465464 277532076 370042768 508808806 530930928 555064152 763213209 1017617612 1110128304 1526426418 2035235224 3052852836 4070470448 6105705672 12211411344