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12111120200 = 2352397152533
BaseRepresentation
bin10110100011110000…
…10000011101001000
31011021001012122121102
423101320100131020
5144300421321300
65321435200532
7606060552224
oct132170203510
934231178542
1012111120200
115155458953
12241bba6148
1311b019ca1a
1482c6a5784
154ad3c00d5
hex2d1e10748

12111120200 has 48 divisors (see below), whose sum is σ = 28229467380. Its totient is φ = 4832213760.

The previous prime is 12111120193. The next prime is 12111120361. The reversal of 12111120200 is 202111121.

It can be written as a sum of positive squares in 6 ways, for example, as 6941222596 + 5169897604 = 83314^2 + 71902^2 .

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, 3134 + ... + 155666.

Almost surely, 212111120200 is an apocalyptic number.

12111120200 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 12111120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14114733690).

12111120200 is an abundant number, since it is smaller than the sum of its proper divisors (16118347180).

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

12111120200 is a wasteful number, since it uses less digits than its factorization.

12111120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152946 (or 152937 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12111120200 its reverse (202111121), we get a palindrome (12313231321).

The spelling of 12111120200 in words is "twelve billion, one hundred eleven million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 397 794 1588 1985 3176 3970 7940 9925 15880 19850 39700 79400 152533 305066 610132 762665 1220264 1525330 3050660 3813325 6101320 7626650 15253300 30506600 60555601 121111202 242222404 302778005 484444808 605556010 1211112020 1513890025 2422224040 3027780050 6055560100 12111120200