1012430312000 has 56 divisors (see below), whose sum is σ = 2507283687480. Its totient is φ = 404972121600.

The previous prime is 1012430311957. The next prime is 1012430312017. The reversal of 1012430312000 is 2130342101.

It can be written as a sum of positive squares in 4 ways, for example, as 207491182144 + 804939129856 = 455512^2 + 897184^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1012430312000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63268895 + ... + 63284894.

Almost surely, 2^{1012430312000} is an apocalyptic number.

1012430312000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012430312000 is an abundant number, since it is smaller than the sum of its proper divisors (1494853375480).

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

1012430312000 is an equidigital number, since it uses as much as digits as its factorization.

1012430312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126553816 (or 126553796 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1012430312000 its reverse (2130342101), we get a palindrome (1014560654101).

The spelling of 1012430312000 in words is "one trillion, twelve billion, four hundred thirty million, three hundred twelve thousand".