1000120010120 has 64 divisors (see below), whose sum is σ = 2805531465600. Its totient is φ = 311725716480.

The previous prime is 1000120010053. The next prime is 1000120010143. The reversal of 1000120010120 is 210100210001.

It is a super-3 number, since 3×1000120010120³ (a number of 37 digits) contains 333 as substring.

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 = 1000120010098 and 1000120010107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162354065 + ... + 162360224.

It is an arithmetic number, because the mean of its divisors is an integer number (43836429150).

Almost surely, 2^{1000120010120} is an apocalyptic number.

1000120010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000120010120 is an abundant number, since it is smaller than the sum of its proper divisors (1805411455480).

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

1000120010120 is a wasteful number, since it uses less digits than its factorization.

1000120010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324714318 (or 324714314 counting only the distinct ones).

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

Adding to 1000120010120 its reverse (210100210001), we get a palindrome (1210220220121).

The spelling of 1000120010120 in words is "one trillion, one hundred twenty million, ten thousand, one hundred twenty".