1388225120 has 48 divisors (see below), whose sum is σ = 3452304240. Its totient is φ = 526063104.

The previous prime is 1388225119. The next prime is 1388225123. The reversal of 1388225120 is 215228831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1388225123) 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, 225287 + ... + 231366.

It is an arithmetic number, because the mean of its divisors is an integer number (71923005).

Almost surely, 2^1388225120 is an apocalyptic number.

1388225120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1388225120 is an abundant number, since it is smaller than the sum of its proper divisors (2064079120).

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

1388225120 is a wasteful number, since it uses less digits than its factorization.

1388225120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456687 (or 456679 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 1388225120 is about 37258.8931665985. The cubic root of 1388225120 is about 1115.5438156419.

The spelling of 1388225120 in words is "one billion, three hundred eighty-eight million, two hundred twenty-five thousand, one hundred twenty".