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12214811224 = 2371124182279
BaseRepresentation
bin10110110000000111…
…10011101001011000
31011112021022200221201
423120003303221120
5200003442424344
65340021443544
7611460116350
oct133003635130
934467280851
1012214811224
1151a8a40510
12244a8705b4
1311c8806565
1483c377b60
154b75534d4
hex2d80f3a58

12214811224 has 64 divisors (see below), whose sum is σ = 28672934400. Its totient is φ = 4739212800.

The previous prime is 12214811209. The next prime is 12214811237. The reversal of 12214811224 is 42211841221.

It is a super-2 number, since 2×122148112242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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

It is a junction number, because it is equal to n+sod(n) for n = 12214811192 and 12214811201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107317 + ... + 189595.

It is an arithmetic number, because the mean of its divisors is an integer number (448014600).

Almost surely, 212214811224 is an apocalyptic number.

12214811224 is a gapful number since it is divisible by the number (14) 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 12214811224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14336467200).

12214811224 is an abundant number, since it is smaller than the sum of its proper divisors (16458123176).

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

12214811224 is a wasteful number, since it uses less digits than its factorization.

12214811224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82544 (or 82540 counting only the distinct ones).

The product of its digits is 2048, while the sum is 28.

The spelling of 12214811224 in words is "twelve billion, two hundred fourteen million, eight hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 241 308 482 616 964 1687 1928 2651 3374 5302 6748 10604 13496 18557 21208 37114 74228 82279 148456 164558 329116 575953 658232 905069 1151906 1810138 2303812 3620276 4607624 6335483 7240552 12670966 19829239 25341932 39658478 50683864 79316956 138804673 158633912 218121629 277609346 436243258 555218692 872486516 1110437384 1526851403 1744973032 3053702806 6107405612 12214811224