12141836100 has 81 divisors (see below), whose sum is σ = 38068275063. Its totient is φ = 3236941440.

The previous prime is 12141836071. The next prime is 12141836129. The reversal of 12141836100 is 163814121.

It is a happy number.

The square root of 12141836100 is 110190.

It is a perfect power (a square), and thus also a powerful number.

12141836100 is a `hidden beast` number, since 1 + 2 + 1 + 41 + 8 + 3 + 610 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12141836071) and next prime (12141836129).

It can be written as a sum of positive squares in 4 ways, for example, as 4681022724 + 7460813376 = 68418^2 + 86376^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3303864 + ... + 3307536.

Almost surely, 2^12141836100 is an apocalyptic number.

12141836100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12141836100 is the 110190-th square number.

It is an amenable number.

12141836100 is an abundant number, since it is smaller than the sum of its proper divisors (25926438963).

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

12141836100 is an equidigital number, since it uses as much as digits as its factorization.

12141836100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7366 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

It can be divided in two parts, 12141 and 836100, that added together give a square (848241 = 921²).

The spelling of 12141836100 in words is "twelve billion, one hundred forty-one million, eight hundred thirty-six thousand, one hundred".