2012011920 has 80 divisors (see below), whose sum is σ = 6930270720. Its totient is φ = 536535936.

The previous prime is 2012011849. The next prime is 2012011921. The reversal of 2012011920 is 291102102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2012011893 and 2012011902.

It is not an unprimeable number, because it can be changed into a prime (2012011921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 463584 + ... + 467903.

It is an arithmetic number, because the mean of its divisors is an integer number (86628384).

Almost surely, 2^2012011920 is an apocalyptic number.

2012011920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012011920 is an abundant number, since it is smaller than the sum of its proper divisors (4918258800).

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

2012011920 is a wasteful number, since it uses less digits than its factorization.

2012011920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931509 (or 931497 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 2012011920 is about 44855.4558554475. The cubic root of 2012011920 is about 1262.4383621184.

The spelling of 2012011920 in words is "two billion, twelve million, eleven thousand, nine hundred twenty".