10122600 has 48 divisors (see below), whose sum is σ = 31381920. Its totient is φ = 2699200.

The previous prime is 10122589. The next prime is 10122601. The reversal of 10122600 is 622101.

10122600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7836 + ... + 9035.

It is an arithmetic number, because the mean of its divisors is an integer number (653790).

Almost surely, 2^10122600 is an apocalyptic number.

10122600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122600 is an abundant number, since it is smaller than the sum of its proper divisors (21259320).

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

10122600 is a wasteful number, since it uses less digits than its factorization.

10122600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16890 (or 16881 counting only the distinct ones).

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

The square root of 10122600 is about 3181.6033693721. The cubic root of 10122600 is about 216.3203408671.

Adding to 10122600 its reverse (622101), we get a palindrome (10744701).

The spelling of 10122600 in words is "ten million, one hundred twenty-two thousand, six hundred".