1230178752 has 448 divisors, whose sum is σ = 4318894080. Its totient is φ = 343388160.

The previous prime is 1230178727. The next prime is 1230178777. The reversal of 1230178752 is 2578710321.

It is an interprime number because it is at equal distance from previous prime (1230178727) and next prime (1230178777).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 26173993 + ... + 26174039.

Almost surely, 2^1230178752 is an apocalyptic number.

1230178752 is a gapful number since it is divisible by the number (12) 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 1230178752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159447040).

1230178752 is an abundant number, since it is smaller than the sum of its proper divisors (3088715328).

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

1230178752 is an equidigital number, since it uses as much as digits as its factorization.

1230178752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1230178752 is about 35073.9041453899. The cubic root of 1230178752 is about 1071.4931702308.

It can be divided in two parts, 123017 and 8752, that added together give a square (131769 = 363²).

The spelling of 1230178752 in words is "one billion, two hundred thirty million, one hundred seventy-eight thousand, seven hundred fifty-two".