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12211111120 = 2451368317191
BaseRepresentation
bin10110101111101011…
…01100010011010000
31011112000100201100211
423113311230103100
5200002021023440
65335410253504
7611413506025
oct132765542320
934460321324
1012211111120
1151a694357a
122449587294
1311c7b0c350
1483ba9354c
154b7071eea
hex2d7d6c4d0

12211111120 has 80 divisors (see below), whose sum is σ = 30621290112. Its totient is φ = 4501854720.

The previous prime is 12211111117. The next prime is 12211111163. The reversal of 12211111120 is 2111111221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×122111111202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 12211111120.

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, 701725 + ... + 718915.

Almost surely, 212211111120 is an apocalyptic number.

12211111120 is a gapful number since it is divisible by the number (10) 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 12211111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15310645056).

12211111120 is an abundant number, since it is smaller than the sum of its proper divisors (18410178992).

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

12211111120 is a wasteful number, since it uses less digits than its factorization.

12211111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17900 (or 17894 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12211111120 its reverse (2111111221), we get a palindrome (14322222341).

The spelling of 12211111120 in words is "twelve billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 683 1040 1366 2732 3415 5464 6830 8879 10928 13660 17191 17758 27320 34382 35516 44395 54640 68764 71032 85955 88790 137528 142064 171910 177580 223483 275056 343820 355160 446966 687640 710320 893932 1117415 1375280 1787864 2234830 3575728 4469660 8939320 11741453 17878640 23482906 46965812 58707265 93931624 117414530 152638889 187863248 234829060 305277778 469658120 610555556 763194445 939316240 1221111112 1526388890 2442222224 3052777780 6105555560 12211111120