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12214340400 = 2435210178617
BaseRepresentation
bin10110110000000100…
…00000101100110000
31011112020102210002210
423120002000230300
5200003332343100
65340003412120
7611453115603
oct133002005460
934466383083
1012214340400
1151a87497a9
12244a684040
1311c86a0172
1483c29433a
154b74adc50
hex2d8080b30

12214340400 has 60 divisors (see below), whose sum is σ = 39126607592. Its totient is φ = 3257157120.

The previous prime is 12214340377. The next prime is 12214340419. The reversal of 12214340400 is 404341221.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×122143404002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5088109 + ... + 5090508.

Almost surely, 212214340400 is an apocalyptic number.

12214340400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12214340400 is an abundant number, since it is smaller than the sum of its proper divisors (26912267192).

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

12214340400 is a wasteful number, since it uses less digits than its factorization.

12214340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10178638 (or 10178627 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12214340400 its reverse (404341221), we get a palindrome (12618681621).

The spelling of 12214340400 in words is "twelve billion, two hundred fourteen million, three hundred forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 10178617 20357234 30535851 40714468 50893085 61071702 81428936 101786170 122143404 152679255 162857872 203572340 244286808 254465425 305358510 407144680 488573616 508930850 610717020 763396275 814289360 1017861700 1221434040 1526792550 2035723400 2442868080 3053585100 4071446800 6107170200 12214340400