123145452000 has 576 divisors, whose sum is σ = 452910092544. Its totient is φ = 31668019200.

The previous prime is 123145451987. The next prime is 123145452011. The reversal of 123145452000 is 254541321.

123145452000 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 454 + 5 + 200 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123515502 + ... + 123516498.

It is an arithmetic number, because the mean of its divisors is an integer number (786302244).

Almost surely, 2^123145452000 is an apocalyptic number.

123145452000 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 123145452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226455046272).

123145452000 is an abundant number, since it is smaller than the sum of its proper divisors (329764640544).

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

123145452000 is a wasteful number, since it uses less digits than its factorization.

123145452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 123145452000 its reverse (254541321), we get a palindrome (123399993321).

The spelling of 123145452000 in words is "one hundred twenty-three billion, one hundred forty-five million, four hundred fifty-two thousand".