123012000 has 384 divisors, whose sum is σ = 481178880. Its totient is φ = 30412800.

The previous prime is 123011971. The next prime is 123012037. The reversal of 123012000 is 210321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1835967 + ... + 1836033.

It is an arithmetic number, because the mean of its divisors is an integer number (1253070).

Almost surely, 2^123012000 is an apocalyptic number.

123012000 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 123012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240589440).

123012000 is an abundant number, since it is smaller than the sum of its proper divisors (358166880).

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

123012000 is a wasteful number, since it uses less digits than its factorization.

123012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 123012000 is about 11091.0774949957. The cubic root of 123012000 is about 497.3351557760.

Adding to 123012000 its reverse (210321), we get a palindrome (123222321).

The spelling of 123012000 in words is "one hundred twenty-three million, twelve thousand".