1388123520 has 256 divisors, whose sum is σ = 5093798400. Its totient is φ = 314966016.

The previous prime is 1388123509. The next prime is 1388123537. The reversal of 1388123520 is 253218831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2405472 + ... + 2406048.

It is an arithmetic number, because the mean of its divisors is an integer number (19897650).

Almost surely, 2^1388123520 is an apocalyptic number.

1388123520 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 1388123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546899200).

1388123520 is an abundant number, since it is smaller than the sum of its proper divisors (3705674880).

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

1388123520 is a wasteful number, since it uses less digits than its factorization.

1388123520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1388123520 is about 37257.5297087716. The cubic root of 1388123520 is about 1115.5166005514.

It can be divided in two parts, 13881 and 23520, that added together give a triangular number (37401 = T₂₇₃).

The spelling of 1388123520 in words is "one billion, three hundred eighty-eight million, one hundred twenty-three thousand, five hundred twenty".