12973100 has 72 divisors (see below), whose sum is σ = 32997888. Its totient is φ = 4334400.

The previous prime is 12973099. The next prime is 12973109. The reversal of 12973100 is 137921.

12973100 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12973100² = 336602647220000, which contains 22 as substring.

12973100 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (12973109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29885 + ... + 30315.

It is an arithmetic number, because the mean of its divisors is an integer number (458304).

Almost surely, 2^12973100 is an apocalyptic number.

12973100 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 12973100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944).

12973100 is an abundant number, since it is smaller than the sum of its proper divisors (20024788).

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

12973100 is a wasteful number, since it uses less digits than its factorization.

12973100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 12973100 is about 3601.8189849019. The cubic root of 12973100 is about 234.9711749766.

The spelling of 12973100 in words is "twelve million, nine hundred seventy-three thousand, one hundred".