123121000 has 32 divisors (see below), whose sum is σ = 288105480. Its totient is φ = 49248000.

The previous prime is 123120973. The next prime is 123121003. The reversal of 123121000 is 121321.

It can be written as a sum of positive squares in 4 ways, for example, as 61121124 + 61999876 = 7818^2 + 7874^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (123121003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60561 + ... + 62560.

Almost surely, 2^123121000 is an apocalyptic number.

123121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123121000 is an abundant number, since it is smaller than the sum of its proper divisors (164984480).

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

123121000 is a wasteful number, since it uses less digits than its factorization.

123121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123142 (or 123128 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 123121000 is about 11095.9902667585. The cubic root of 123121000 is about 497.4820073794.

Adding to 123121000 its reverse (121321), we get a palindrome (123242321).

The spelling of 123121000 in words is "one hundred twenty-three million, one hundred twenty-one thousand".