1230112000 has 144 divisors (see below), whose sum is σ = 3301198992. Its totient is φ = 454041600.

The previous prime is 1230111973. The next prime is 1230112021. The reversal of 1230112000 is 2110321.

It can be written as a sum of positive squares in 8 ways, for example, as 837755136 + 392356864 = 28944^2 + 19808^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414522 + ... + 417478.

It is an arithmetic number, because the mean of its divisors is an integer number (22924993).

Almost surely, 2^1230112000 is an apocalyptic number.

1230112000 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 1230112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650599496).

1230112000 is an abundant number, since it is smaller than the sum of its proper divisors (2071086992).

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

1230112000 is an equidigital number, since it uses as much as digits as its factorization.

1230112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1230112000 is about 35072.9525418092. The cubic root of 1230112000 is about 1071.4737894144.

Adding to 1230112000 its reverse (2110321), we get a palindrome (1232222321).

The spelling of 1230112000 in words is "one billion, two hundred thirty million, one hundred twelve thousand".