1000010012120 has 128 divisors (see below), whose sum is σ = 2730799992960. Its totient is φ = 321734246400.

The previous prime is 1000010012093. The next prime is 1000010012173. The reversal of 1000010012120 is 212100100001.

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

It is a junction number, because it is equal to n+sod(n) for n = 1000010012098 and 1000010012107.

It is a congruent number.

It is an unprimeable number.

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, 1292420 + ... + 1915820.

It is an arithmetic number, because the mean of its divisors is an integer number (21334374945).

Almost surely, 2^{1000010012120} is an apocalyptic number.

1000010012120 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 1000010012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365399996480).

1000010012120 is an abundant number, since it is smaller than the sum of its proper divisors (1730789980840).

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

1000010012120 is a wasteful number, since it uses less digits than its factorization.

1000010012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623773 (or 623769 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1000010012120 its reverse (212100100001), we get a palindrome (1212110112121).

The spelling of 1000010012120 in words is "one trillion, ten million, twelve thousand, one hundred twenty".