12100145200 has 180 divisors, whose sum is σ = 34413394624. Its totient is φ = 4061376000.

The previous prime is 12100145179. The next prime is 12100145219. The reversal of 12100145200 is 254100121.

It is a super-2 number, since 2×12100145200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 619585 + ... + 638815.

Almost surely, 2^12100145200 is an apocalyptic number.

12100145200 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 12100145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17206697312).

12100145200 is an abundant number, since it is smaller than the sum of its proper divisors (22313249424).

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

12100145200 is a wasteful number, since it uses less digits than its factorization.

12100145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19284 (or 19262 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 12100145200 its reverse (254100121), we get a palindrome (12354245321).

The spelling of 12100145200 in words is "twelve billion, one hundred million, one hundred forty-five thousand, two hundred".