1204053120 has 256 divisors, whose sum is σ = 4340304000. Its totient is φ = 315371520.

The previous prime is 1204053119. The next prime is 1204053121. The reversal of 1204053120 is 213504021.

It is an interprime number because it is at equal distance from previous prime (1204053119) and next prime (1204053121).

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 = 1204053093 and 1204053102.

It is not an unprimeable number, because it can be changed into a prime (1204053121) 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 31 ways as a sum of consecutive naturals, for example, 1018930 + ... + 1020110.

Almost surely, 2^1204053120 is an apocalyptic number.

1204053120 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 1204053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170152000).

1204053120 is an abundant number, since it is smaller than the sum of its proper divisors (3136250880).

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

1204053120 is a wasteful number, since it uses less digits than its factorization.

1204053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1204053120 is about 34699.4685838270. The cubic root of 1204053120 is about 1063.8536365654.

Adding to 1204053120 its reverse (213504021), we get a palindrome (1417557141).

The spelling of 1204053120 in words is "one billion, two hundred four million, fifty-three thousand, one hundred twenty".