123966000 has 240 divisors, whose sum is σ = 443596608. Its totient is φ = 32256000.

The previous prime is 123965953. The next prime is 123966047. The reversal of 123966000 is 669321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123965953) and next prime (123966047).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1277952 + ... + 1278048.

Almost surely, 2^123966000 is an apocalyptic number.

123966000 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 123966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221798304).

123966000 is an abundant number, since it is smaller than the sum of its proper divisors (319630608).

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

123966000 is a wasteful number, since it uses less digits than its factorization.

123966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 123966000 is about 11134.0019759294. The cubic root of 123966000 is about 498.6175143231.

The spelling of 123966000 in words is "one hundred twenty-three million, nine hundred sixty-six thousand".