2012000321920 has 128 divisors (see below), whose sum is σ = 4869261915840. Its totient is φ = 794907377664.

The previous prime is 2012000321911. The next prime is 2012000321927. The reversal of 2012000321920 is 291230002102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2012000321891 and 2012000321900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012000321927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31194024 + ... + 31258456.

Almost surely, 2^{2012000321920} is an apocalyptic number.

2012000321920 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 2012000321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434630957920).

2012000321920 is an abundant number, since it is smaller than the sum of its proper divisors (2857261593920).

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

2012000321920 is an equidigital number, since it uses as much as digits as its factorization.

2012000321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65052 (or 65040 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

It can be divided in two parts, 2012000 and 321920, that multiplied together give a square (647703040000 = 804800²).

The spelling of 2012000321920 in words is "two trillion, twelve billion, three hundred twenty-one thousand, nine hundred twenty".