1212641424 has 60 divisors (see below), whose sum is σ = 3413398716. Its totient is φ = 401869056.

The previous prime is 1212641411. The next prime is 1212641449. The reversal of 1212641424 is 4241462121.

1212641424 is a `hidden beast` number, since 1 + 2 + 12 + 641 + 4 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 914457600 + 298183824 = 30240^2 + 17268^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 574 + ... + 49250.

Almost surely, 2^1212641424 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 1212641424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706699358).

1212641424 is an abundant number, since it is smaller than the sum of its proper divisors (2200757292).

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

1212641424 is a wasteful number, since it uses less digits than its factorization.

1212641424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48864 (or 48855 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 1212641424 is about 34823.0013640410. The cubic root of 1212641424 is about 1066.3770746837.

The spelling of 1212641424 in words is "one billion, two hundred twelve million, six hundred forty-one thousand, four hundred twenty-four".