1012129904870 has 64 divisors (see below), whose sum is σ = 2166184083456. Its totient is φ = 333177546240.

The previous prime is 1012129904861. The next prime is 1012129904879. The reversal of 1012129904870 is 784099212101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1012129904861) and next prime (1012129904879).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012129904879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1560707 + ... + 2111886.

It is an arithmetic number, because the mean of its divisors is an integer number (33846626304).

Almost surely, 2^{1012129904870} is an apocalyptic number.

1012129904870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1012129904870 is an abundant number, since it is smaller than the sum of its proper divisors (1154054178586).

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

1012129904870 is a wasteful number, since it uses less digits than its factorization.

1012129904870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672765.

The product of its (nonzero) digits is 72576, while the sum is 44.

The spelling of 1012129904870 in words is "one trillion, twelve billion, one hundred twenty-nine million, nine hundred four thousand, eight hundred seventy".