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12111001100 = 22521139727733
BaseRepresentation
bin10110100011101111…
…10011011000001100
31011021000222121020022
423101313303120030
5144300404013400
65321432441312
7606056545052
oct132167633014
934230877208
1012111001100
115155387420
12241bb49238
1311b015a753
1482c6741d2
154ad399b85
hex2d1df360c

12111001100 has 72 divisors (see below), whose sum is σ = 28743295728. Its totient is φ = 4392748800.

The previous prime is 12111001099. The next prime is 12111001103. The reversal of 12111001100 is 110011121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12111001103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422834 + ... + 450566.

Almost surely, 212111001100 is an apocalyptic number.

12111001100 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 12111001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14371647864).

12111001100 is an abundant number, since it is smaller than the sum of its proper divisors (16632294628).

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

12111001100 is a wasteful number, since it uses less digits than its factorization.

12111001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28155 (or 28148 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 12111001100 its reverse (110011121), we get a palindrome (12221012221).

The spelling of 12111001100 in words is "twelve billion, one hundred eleven million, one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 397 550 794 1100 1588 1985 3970 4367 7940 8734 9925 17468 19850 21835 27733 39700 43670 55466 87340 109175 110932 138665 218350 277330 305063 436700 554660 610126 693325 1220252 1386650 1525315 2773300 3050630 6101260 7626575 11010001 15253150 22020002 30506300 44040004 55050005 110100010 121110011 220200020 242220022 275250025 484440044 550500050 605550055 1101000100 1211100110 2422200220 3027750275 6055500550 12111001100