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12012100200 = 2333521947253
BaseRepresentation
bin10110010111111101…
…00001101001101000
31011000010212220201000
423023332201221220
5144100044201300
65303540555000
7603446111202
oct131376415150
934003786630
1012012100200
115104576741
1223b29b2a60
1311958102c9
1481d48b772
154a4860c00
hex2cbfa1a68

12012100200 has 576 divisors, whose sum is σ = 45338616000. Its totient is φ = 2914030080.

The previous prime is 12012100171. The next prime is 12012100201. The reversal of 12012100200 is 200121021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12012100201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 226643374 + ... + 226643426.

It is an arithmetic number, because the mean of its divisors is an integer number (78712875).

Almost surely, 212012100200 is an apocalyptic number.

12012100200 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 12012100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22669308000).

12012100200 is an abundant number, since it is smaller than the sum of its proper divisors (33326515800).

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

12012100200 is a wasteful number, since it uses less digits than its factorization.

12012100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12012100200 its reverse (200121021), we get a palindrome (12212221221).

The spelling of 12012100200 in words is "twelve billion, twelve million, one hundred thousand, two hundred".