123001020000 has 360 divisors, whose sum is σ = 442410152184. Its totient is φ = 32401152000.

The previous prime is 123001019983. The next prime is 123001020017. The reversal of 123001020000 is 20100321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123001019983) and next prime (123001020017).

It is a tau number, because it is divible by the number of its divisors (360).

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

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 59 ways as a sum of consecutive naturals, for example, 14935884 + ... + 14944116.

Almost surely, 2^123001020000 is an apocalyptic number.

123001020000 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 123001020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221205076092).

123001020000 is an abundant number, since it is smaller than the sum of its proper divisors (319409132184).

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

123001020000 is an equidigital number, since it uses as much as digits as its factorization.

123001020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8352 (or 8326 counting only the distinct ones).

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

Adding to 123001020000 its reverse (20100321), we get a palindrome (123021120321).

The spelling of 123001020000 in words is "one hundred twenty-three billion, one million, twenty thousand".