2000225314120 has 192 divisors, whose sum is σ = 5035390214400. Its totient is φ = 714370060800.

The previous prime is 2000225314079. The next prime is 2000225314141. The reversal of 2000225314120 is 214135220002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2000225314091 and 2000225314100.

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 47 ways as a sum of consecutive naturals, for example, 214634821 + ... + 214644139.

It is an arithmetic number, because the mean of its divisors is an integer number (26225990700).

Almost surely, 2^{2000225314120} is an apocalyptic number.

2000225314120 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 2000225314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517695107200).

2000225314120 is an abundant number, since it is smaller than the sum of its proper divisors (3035164900280).

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

2000225314120 is a wasteful number, since it uses less digits than its factorization.

2000225314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10140 (or 10125 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 2000225314120 in words is "two trillion, two hundred twenty-five million, three hundred fourteen thousand, one hundred twenty".