1012122010032 has 320 divisors, whose sum is σ = 3146198630400. Its totient is φ = 274120399872.

The previous prime is 1012122009953. The next prime is 1012122010033. The reversal of 1012122010032 is 2300102212101.

It is a junction number, because it is equal to n+sod(n) for n = 1012122009993 and 1012122010020.

It is not an unprimeable number, because it can be changed into a prime (1012122010033) 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 63 ways as a sum of consecutive naturals, for example, 740395813 + ... + 740397179.

It is an arithmetic number, because the mean of its divisors is an integer number (9831870720).

Almost surely, 2^{1012122010032} is an apocalyptic number.

1012122010032 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 1012122010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573099315200).

1012122010032 is an abundant number, since it is smaller than the sum of its proper divisors (2134076620368).

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

1012122010032 is a wasteful number, since it uses less digits than its factorization.

1012122010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1012122010032 its reverse (2300102212101), we get a palindrome (3312224222133).

The spelling of 1012122010032 in words is "one trillion, twelve billion, one hundred twenty-two million, ten thousand, thirty-two".