123381000 has 96 divisors (see below), whose sum is σ = 417058200. Its totient is φ = 32899200.

The previous prime is 123380989. The next prime is 123381007. The reversal of 123381000 is 183321.

It can be written as a sum of positive squares in 4 ways, for example, as 60559524 + 62821476 = 7782^2 + 7926^2 .

It is a super-2 number, since 2×123381000² = 30445742322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (123381007) 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, 2146 + ... + 15854.

Almost surely, 2^123381000 is an apocalyptic number.

123381000 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 123381000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208529100).

123381000 is an abundant number, since it is smaller than the sum of its proper divisors (293677200).

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

123381000 is a wasteful number, since it uses less digits than its factorization.

123381000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13736 (or 13719 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 123381000 is about 11107.7000319598. The cubic root of 123381000 is about 497.8319460049.

The spelling of 123381000 in words is "one hundred twenty-three million, three hundred eighty-one thousand".