1012241420032 has 72 divisors (see below), whose sum is σ = 2058262476032. Its totient is φ = 496724659200.

The previous prime is 1012241420027. The next prime is 1012241420033. The reversal of 1012241420032 is 2300241422101.

It is a junction number, because it is equal to n+sod(n) for n = 1012241419985 and 1012241420012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012241420033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4539307 + ... + 4757077.

Almost surely, 2^{1012241420032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012241420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029131238016).

1012241420032 is an abundant number, since it is smaller than the sum of its proper divisors (1046021056000).

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

1012241420032 is an equidigital number, since it uses as much as digits as its factorization.

1012241420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218125 (or 218111 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1012241420032 its reverse (2300241422101), we get a palindrome (3312482842133).

The spelling of 1012241420032 in words is "one trillion, twelve billion, two hundred forty-one million, four hundred twenty thousand, thirty-two".