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12111040200 = 23352722712703
BaseRepresentation
bin10110100011101111…
…11100111011001000
31011021001001120212110
423101313330323020
5144300411241300
65321433342320
7606060100050
oct132167747310
934231046773
1012111040200
115155403836
12241bb679a0
1311b017249c
1482c684560
154ad3a6550
hex2d1dfcec8

12111040200 has 192 divisors, whose sum is σ = 43100098560. Its totient is φ = 2755825920.

The previous prime is 12111040177. The next prime is 12111040217. The reversal of 12111040200 is 204011121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947049 + ... + 959751.

It is an arithmetic number, because the mean of its divisors is an integer number (224479680).

Almost surely, 212111040200 is an apocalyptic number.

12111040200 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 12111040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21550049280).

12111040200 is an abundant number, since it is smaller than the sum of its proper divisors (30989058360).

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

12111040200 is a wasteful number, since it uses less digits than its factorization.

12111040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12956 (or 12947 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12111040200 its reverse (204011121), we get a palindrome (12315051321).

The spelling of 12111040200 in words is "twelve billion, one hundred eleven million, forty thousand, two hundred".