2012232420 has 288 divisors, whose sum is σ = 6925516416. Its totient is φ = 472538880.

The previous prime is 2012232377. The next prime is 2012232433. The reversal of 2012232420 is 242322102.

2012232420 is a `hidden beast` number, since 2 + 0 + 12 + 232 + 420 = 666.

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 = 2012232393 and 2012232402.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8864347 + ... + 8864573.

It is an arithmetic number, because the mean of its divisors is an integer number (24046932).

Almost surely, 2^2012232420 is an apocalyptic number.

2012232420 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 2012232420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462758208).

2012232420 is an abundant number, since it is smaller than the sum of its proper divisors (4913283996).

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

2012232420 is a wasteful number, since it uses less digits than its factorization.

2012232420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2012232420 is about 44857.9136830950. The cubic root of 2012232420 is about 1262.4844780629.

Adding to 2012232420 its reverse (242322102), we get a palindrome (2254554522).

It can be divided in two parts, 2012 and 232420, that added together give a palindrome (234432).

The spelling of 2012232420 in words is "two billion, twelve million, two hundred thirty-two thousand, four hundred twenty".