1204135414224 has 80 divisors (see below), whose sum is σ = 3186287915712. Its totient is φ = 391642159104.

The previous prime is 1204135414093. The next prime is 1204135414231. The reversal of 1204135414224 is 4224145314021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1717962 + ... + 2315094.

Almost surely, 2^{1204135414224} 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 1204135414224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593143957856).

1204135414224 is an abundant number, since it is smaller than the sum of its proper divisors (1982152501488).

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

1204135414224 is a wasteful number, since it uses less digits than its factorization.

1204135414224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598164 (or 598158 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 1204135414224 in words is "one trillion, two hundred four billion, one hundred thirty-five million, four hundred fourteen thousand, two hundred twenty-four".