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12213247376 = 24111314011321
BaseRepresentation
bin10110101111111011…
…10101110110010000
31011112011101020202102
423113331311312100
5200003042404001
65335524135532
7611440614131
oct132775656620
934464336672
1012213247376
1151a8072580
12244a2375a8
1311c83a97c5
1483c08bc88
154b7344e6b
hex2d7f75d90

12213247376 has 80 divisors (see below), whose sum is σ = 26096026176. Its totient is φ = 5491200000.

The previous prime is 12213247373. The next prime is 12213247429. The reversal of 12213247376 is 67374231221.

It is a super-2 number, since 2×122132473762 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12213247373) 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, 9244796 + ... + 9246116.

Almost surely, 212213247376 is an apocalyptic number.

12213247376 is a gapful number since it is divisible by the number (16) 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 12213247376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13048013088).

12213247376 is an abundant number, since it is smaller than the sum of its proper divisors (13882778800).

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

12213247376 is a wasteful number, since it uses less digits than its factorization.

12213247376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1866 counting only the distinct ones).

The product of its digits is 84672, while the sum is 38.

Adding to 12213247376 its reverse (67374231221), we get a palindrome (79587478597).

The spelling of 12213247376 in words is "twelve billion, two hundred thirteen million, two hundred forty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 88 131 176 262 401 524 802 1048 1321 1441 1604 2096 2642 2882 3208 4411 5284 5764 6416 8822 10568 11528 14531 17644 21136 23056 29062 35288 52531 58124 70576 105062 116248 173051 210124 232496 346102 420248 529721 577841 692204 840496 1059442 1155682 1384408 1903561 2118884 2311364 2768816 3807122 4237768 4622728 5826931 7614244 8475536 9245456 11653862 15228488 23307724 30456976 46615448 69393451 93230896 138786902 277573804 555147608 763327961 1110295216 1526655922 3053311844 6106623688 12213247376