1012435200000 has 2016 divisors, whose sum is σ = 4475548546560. Its totient is φ = 223948800000.

The previous prime is 1012435199999. The next prime is 1012435200019. The reversal of 1012435200000 is 25342101.

1012435200000 is a `hidden beast` number, since 101 + 2 + 43 + 520 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 32659199985 + ... + 32659200015.

It is an arithmetic number, because the mean of its divisors is an integer number (2220014160).

Almost surely, 2^{1012435200000} is an apocalyptic number.

1012435200000 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 1012435200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237774273280).

1012435200000 is an abundant number, since it is smaller than the sum of its proper divisors (3463113346560).

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

1012435200000 is an frugal number, since it uses more digits than its factorization.

1012435200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 1012435200000 in words is "one trillion, twelve billion, four hundred thirty-five million, two hundred thousand".