1000010312000 has 224 divisors, whose sum is σ = 2996806864896. Its totient is φ = 322692096000.

The previous prime is 1000010311987. The next prime is 1000010312023. The reversal of 1000010312000 is 2130100001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426785 + ... + 1477215.

Almost surely, 2^{1000010312000} is an apocalyptic number.

1000010312000 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 1000010312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498403432448).

1000010312000 is an abundant number, since it is smaller than the sum of its proper divisors (1996796552896).

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

1000010312000 is a wasteful number, since it uses less digits than its factorization.

1000010312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050482 (or 1050462 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 1000010312000 its reverse (2130100001), we get a palindrome (1002140412001).

The spelling of 1000010312000 in words is "one trillion, ten million, three hundred twelve thousand".