1035431522112 has 224 divisors, whose sum is σ = 2996188876800. Its totient is φ = 313663813632.

The previous prime is 1035431522107. The next prime is 1035431522117. The reversal of 1035431522112 is 2112251345301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1035431522107) and next prime (1035431522117).

It is a super-3 number, since 3×1035431522112³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1035431522112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035431522117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70781743 + ... + 70796369.

It is an arithmetic number, because the mean of its divisors is an integer number (13375843200).

Almost surely, 2^{1035431522112} is an apocalyptic number.

1035431522112 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 1035431522112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498094438400).

1035431522112 is an abundant number, since it is smaller than the sum of its proper divisors (1960757354688).

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

1035431522112 is a wasteful number, since it uses less digits than its factorization.

1035431522112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15093 (or 15083 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 1035431522112 its reverse (2112251345301), we get a palindrome (3147682867413).

The spelling of 1035431522112 in words is "one trillion, thirty-five billion, four hundred thirty-one million, five hundred twenty-two thousand, one hundred twelve".