2000123121300 has 144 divisors (see below), whose sum is σ = 5984218360512. Its totient is φ = 515491891200.

The previous prime is 2000123121281. The next prime is 2000123121319. The reversal of 2000123121300 is 31213210002.

It is an interprime number because it is at equal distance from previous prime (2000123121281) and next prime (2000123121319).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2000123121300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126540 + ... + 2004060.

It is an arithmetic number, because the mean of its divisors is an integer number (41557071948).

Almost surely, 2^{2000123121300} is an apocalyptic number.

2000123121300 is a gapful number since it is divisible by the number (20) 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 2000123121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992109180256).

2000123121300 is an abundant number, since it is smaller than the sum of its proper divisors (3984095239212).

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

2000123121300 is a wasteful number, since it uses less digits than its factorization.

2000123121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877658 (or 1877651 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2000123121300 its reverse (31213210002), we get a palindrome (2031336331302).

The spelling of 2000123121300 in words is "two trillion, one hundred twenty-three million, one hundred twenty-one thousand, three hundred".