123200298000 has 320 divisors, whose sum is σ = 475282080000. Its totient is φ = 30326054400.

The previous prime is 123200297999. The next prime is 123200298019. The reversal of 123200298000 is 892002321.

It is a happy number.

It is a Cunningham number, because it is equal to 350999²-1.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 614251 + ... + 789749.

It is an arithmetic number, because the mean of its divisors is an integer number (1485256500).

Almost surely, 2^123200298000 is an apocalyptic number.

123200298000 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 123200298000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237641040000).

123200298000 is an abundant number, since it is smaller than the sum of its proper divisors (352081782000).

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

123200298000 is a wasteful number, since it uses less digits than its factorization.

123200298000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175544 (or 175522 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 123200298000 in words is "one hundred twenty-three billion, two hundred million, two hundred ninety-eight thousand".