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12221322111200 = 2552131116615669
BaseRepresentation
bin1011000111010111111110…
…0100000010100011100000
31121021100100221200021011002
42301311333210002203200
53100213231430024300
641554221535011132
72400650516635016
oct261657744024340
947240327607132
1012221322111200
1139920407a4804
1214546a8069aa8
136a86092939b7
1430372d7c08b6
15162d8821c5d5
hexb1d7f9028e0

12221322111200 has 72 divisors (see below), whose sum is σ = 30063053263320. Its totient is φ = 4851211788800.

The previous prime is 12221322111199. The next prime is 12221322111217. The reversal of 12221322111200 is 211122312221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58203035 + ... + 58412634.

It is an arithmetic number, because the mean of its divisors is an integer number (417542406435).

Almost surely, 212221322111200 is an apocalyptic number.

12221322111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221322111200 is an abundant number, since it is smaller than the sum of its proper divisors (17841731152120).

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

12221322111200 is a wasteful number, since it uses less digits than its factorization.

12221322111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116615820 (or 116615807 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12221322111200 its reverse (211122312221), we get a palindrome (12432444423421).

The spelling of 12221322111200 in words is "twelve trillion, two hundred twenty-one billion, three hundred twenty-two million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 131 160 200 262 400 524 655 800 1048 1310 2096 2620 3275 4192 5240 6550 10480 13100 20960 26200 52400 104800 116615669 233231338 466462676 583078345 932925352 1166156690 1865850704 2332313380 2915391725 3731701408 4664626760 5830783450 9329253520 11661566900 15276652639 18658507040 23323133800 30553305278 46646267600 61106610556 76383263195 93292535200 122213221112 152766526390 244426442224 305533052780 381916315975 488852884448 611066105560 763832631950 1222132211120 1527665263900 2444264422240 3055330527800 6110661055600 12221322111200