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12220014400 = 265211694319
BaseRepresentation
bin10110110000101111…
…01001111101000000
31011112122010001100221
423120113221331000
5200011310430100
65340325152424
7611552260066
oct133027517500
934478101327
1012220014400
115200974760
12245055b714
1311c9908969
1483cd30036
154b7c3001a
hex2d85e9f40

12220014400 has 84 divisors (see below), whose sum is σ = 32802454080. Its totient is φ = 4443635200.

The previous prime is 12220014397. The next prime is 12220014421. The reversal of 12220014400 is 441002221.

12220014400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 329560 + ... + 364759.

Almost surely, 212220014400 is an apocalyptic number.

12220014400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220014400 is an abundant number, since it is smaller than the sum of its proper divisors (20582439680).

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

12220014400 is a wasteful number, since it uses less digits than its factorization.

12220014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694352 (or 694337 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12220014400 its reverse (441002221), we get a palindrome (12661016621).

The spelling of 12220014400 in words is "twelve billion, two hundred twenty million, fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1600 1760 2200 3520 4400 8800 17600 694319 1388638 2777276 3471595 5554552 6943190 7637509 11109104 13886380 15275018 17357975 22218208 27772760 30550036 34715950 38187545 44436416 55545520 61100072 69431900 76375090 111091040 122200144 138863800 152750180 190937725 222182080 244400288 277727600 305500360 381875450 488800576 555455200 611000720 763750900 1110910400 1222001440 1527501800 2444002880 3055003600 6110007200 12220014400