1012340700000 has 1152 divisors, whose sum is σ = 4365620582400. Its totient is φ = 223292160000.

The previous prime is 1012340699977. The next prime is 1012340700017. The reversal of 1012340700000 is 70432101.

1012340700000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 548099077 + ... + 548100923.

It is an arithmetic number, because the mean of its divisors is an integer number (3789601200).

Almost surely, 2^{1012340700000} is an apocalyptic number.

1012340700000 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 1012340700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182810291200).

1012340700000 is an abundant number, since it is smaller than the sum of its proper divisors (3353279882400).

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

1012340700000 is an equidigital number, since it uses as much as digits as its factorization.

1012340700000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The spelling of 1012340700000 in words is "one trillion, twelve billion, three hundred forty million, seven hundred thousand".