1204214144 has 64 divisors (see below), whose sum is σ = 2772727200. Its totient is φ = 510259200.

The previous prime is 1204214117. The next prime is 1204214147. The reversal of 1204214144 is 4414124021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1204214147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72194 + ... + 87294.

Almost surely, 2^1204214144 is an apocalyptic number.

1204214144 is a gapful number since it is divisible by the number (14) 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 1204214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386363600).

1204214144 is an abundant number, since it is smaller than the sum of its proper divisors (1568513056).

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

1204214144 is an equidigital number, since it uses as much as digits as its factorization.

1204214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15211 (or 15199 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 1204214144 is about 34701.7887723385. The cubic root of 1204214144 is about 1063.9010592605.

Adding to 1204214144 its reverse (4414124021), we get a palindrome (5618338165).

The spelling of 1204214144 in words is "one billion, two hundred four million, two hundred fourteen thousand, one hundred forty-four".