123283980450000 has 2400 divisors, whose sum is σ = 504284984945280. Its totient is φ = 28889395200000.

The previous prime is 123283980449969. The next prime is 123283980450031. The reversal of 123283980450000 is 54089382321.

123283980450000 is a `hidden beast` number, since 1 + 2 + 32 + 8 + 39 + 80 + 4 + 500 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (123283980449969) and next prime (123283980450031).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 95494949355 + ... + 95494950645.

Almost surely, 2^{123283980450000} is an apocalyptic number.

123283980450000 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 123283980450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252142492472640).

123283980450000 is an abundant number, since it is smaller than the sum of its proper divisors (381001004495280).

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

123283980450000 is a wasteful number, since it uses less digits than its factorization.

123283980450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 123283980450000 in words is "one hundred twenty-three trillion, two hundred eighty-three billion, nine hundred eighty million, four hundred fifty thousand".