2000121314224 has 120 divisors (see below), whose sum is σ = 4332419417232. Its totient is φ = 887123381760.

The previous prime is 2000121314189. The next prime is 2000121314231. The reversal of 2000121314224 is 4224131210002.

It is a super-2 number, since 2×2000121314224² (a number of 25 digits) contains 22 as substring.

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 = 2000121314195 and 2000121314204.

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 23 ways as a sum of consecutive naturals, for example, 415564042 + ... + 415568854.

Almost surely, 2^{2000121314224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000121314224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166209708616).

2000121314224 is an abundant number, since it is smaller than the sum of its proper divisors (2332298103008).

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

2000121314224 is a wasteful number, since it uses less digits than its factorization.

2000121314224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6195 (or 6146 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 2000121314224 its reverse (4224131210002), we get a palindrome (6224252524226).

The spelling of 2000121314224 in words is "two trillion, one hundred twenty-one million, three hundred fourteen thousand, two hundred twenty-four".