1213144080 has 240 divisors, whose sum is σ = 4020076032. Its totient is φ = 302284800.

The previous prime is 1213144063. The next prime is 1213144087. The reversal of 1213144080 is 804413121.

1213144080 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1213144080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213144087) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12506592 + ... + 12506688.

Almost surely, 2^1213144080 is an apocalyptic number.

1213144080 is a gapful number since it is divisible by the number (10) 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 1213144080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010038016).

1213144080 is an abundant number, since it is smaller than the sum of its proper divisors (2806931952).

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

1213144080 is a wasteful number, since it uses less digits than its factorization.

1213144080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1213144080 is about 34830.2179149083. The cubic root of 1213144080 is about 1066.5243968238.

The spelling of 1213144080 in words is "one billion, two hundred thirteen million, one hundred forty-four thousand, eighty".