1242112000 has 112 divisors (see below), whose sum is σ = 3102678072. Its totient is φ = 496435200.

The previous prime is 1242111977. The next prime is 1242112013. The reversal of 1242112000 is 2112421.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 95883264 + 1146228736 = 9792^2 + 33856^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1023394 + ... + 1024606.

Almost surely, 2^1242112000 is an apocalyptic number.

1242112000 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 1242112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551339036).

1242112000 is an abundant number, since it is smaller than the sum of its proper divisors (1860566072).

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

1242112000 is an frugal number, since it uses more digits than its factorization.

1242112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1242112000 is about 35243.6093497814. The cubic root of 1242112000 is about 1074.9466712323.

Adding to 1242112000 its reverse (2112421), we get a palindrome (1244224421).

The spelling of 1242112000 in words is "one billion, two hundred forty-two million, one hundred twelve thousand".