1238049120 has 768 divisors, whose sum is σ = 5364817920. Its totient is φ = 232243200.

The previous prime is 1238049067. The next prime is 1238049143. The reversal of 1238049120 is 219408321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28791819 + ... + 28791861.

It is an arithmetic number, because the mean of its divisors is an integer number (6985440).

Almost surely, 2^1238049120 is an apocalyptic number.

1238049120 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 1238049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682408960).

1238049120 is an abundant number, since it is smaller than the sum of its proper divisors (4126768800).

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

1238049120 is a wasteful number, since it uses less digits than its factorization.

1238049120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1238049120 is about 35185.9221848739. The cubic root of 1238049120 is about 1073.7733605531.

The spelling of 1238049120 in words is "one billion, two hundred thirty-eight million, forty-nine thousand, one hundred twenty".