12620100 has 144 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 3062400.

The previous prime is 12620063. The next prime is 12620119. The reversal of 12620100 is 102621.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213871 + ... + 213929.

It is an arithmetic number, because the mean of its divisors is an integer number (277760).

Almost surely, 2^12620100 is an apocalyptic number.

12620100 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 12620100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

12620100 is an abundant number, since it is smaller than the sum of its proper divisors (27377340).

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

12620100 is a wasteful number, since it uses less digits than its factorization.

12620100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12620100 is about 3552.4780083767. The cubic root of 12620100 is about 232.8203469421.

Adding to 12620100 its reverse (102621), we get a palindrome (12722721).

It can be divided in two parts, 12620 and 100, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 12620100 in words is "twelve million, six hundred twenty thousand, one hundred".