1012112420000 has 240 divisors, whose sum is σ = 2727814320000. Its totient is φ = 366481920000.

The previous prime is 1012112419999. The next prime is 1012112420083. The reversal of 1012112420000 is 242112101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52570376 + ... + 52589624.

It is an arithmetic number, because the mean of its divisors is an integer number (11365893000).

Almost surely, 2^{1012112420000} is an apocalyptic number.

1012112420000 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 1012112420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363907160000).

1012112420000 is an abundant number, since it is smaller than the sum of its proper divisors (1715701900000).

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

1012112420000 is a wasteful number, since it uses less digits than its factorization.

1012112420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19529 (or 19506 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1012112420000 its reverse (242112101), we get a palindrome (1012354532101).

The spelling of 1012112420000 in words is "one trillion, twelve billion, one hundred twelve million, four hundred twenty thousand".