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12214214112 = 253473896959
BaseRepresentation
bin10110110000000011…
…00001110111100000
31011112020012100212110
423120001201313200
5200003314322422
65340000555320
7611452051452
oct133001416740
934466170773
1012214214112
1151a8672931
12244a622b40
1311c8657839
1483c2602d2
154b748660c
hex2d8061de0

12214214112 has 96 divisors (see below), whose sum is σ = 32833382400. Its totient is φ = 3973964288.

The previous prime is 12214214063. The next prime is 12214214141. The reversal of 12214214112 is 21141241221.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 1751689 + ... + 1758647.

It is an arithmetic number, because the mean of its divisors is an integer number (342014400).

Almost surely, 212214214112 is an apocalyptic number.

12214214112 is a gapful number since it is divisible by the number (12) 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 12214214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416691200).

12214214112 is an abundant number, since it is smaller than the sum of its proper divisors (20619168288).

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

12214214112 is a wasteful number, since it uses less digits than its factorization.

12214214112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7408 (or 7400 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

Adding to 12214214112 its reverse (21141241221), we get a palindrome (33355455333).

The spelling of 12214214112 in words is "twelve billion, two hundred fourteen million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 389 564 752 778 1128 1167 1504 1556 2256 2334 3112 4512 4668 6224 6959 9336 12448 13918 18283 18672 20877 27836 36566 37344 41754 54849 55672 73132 83508 109698 111344 146264 167016 219396 222688 292528 327073 334032 438792 585056 654146 668064 877584 981219 1308292 1755168 1962438 2616584 2707051 3924876 5233168 5414102 7849752 8121153 10466336 10828204 15699504 16242306 21656408 31399008 32484612 43312816 64969224 86625632 127231397 129938448 254462794 259876896 381694191 508925588 763388382 1017851176 1526776764 2035702352 3053553528 4071404704 6107107056 12214214112