123121300 has 72 divisors (see below), whose sum is σ = 281232000. Its totient is φ = 46696320.

The previous prime is 123121261. The next prime is 123121301. The reversal of 123121300 is 3121321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123121301) 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, 457566 + ... + 457834.

It is an arithmetic number, because the mean of its divisors is an integer number (3906000).

Almost surely, 2^123121300 is an apocalyptic number.

123121300 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 123121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616000).

123121300 is an abundant number, since it is smaller than the sum of its proper divisors (158110700).

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

123121300 is a wasteful number, since it uses less digits than its factorization.

123121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 123121300 is about 11096.0037851472. The cubic root of 123121300 is about 497.4824114385.

Adding to 123121300 its reverse (3121321), we get a palindrome (126242621).

The spelling of 123121300 in words is "one hundred twenty-three million, one hundred twenty-one thousand, three hundred".