1012012121120 has 192 divisors, whose sum is σ = 3210131264256. Its totient is φ = 291168276480.

The previous prime is 1012012121111. The next prime is 1012012121173. The reversal of 1012012121120 is 211212102101.

1012012121120 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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 1012012121095 and 1012012121104.

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, 2999219 + ... + 3319538.

It is an arithmetic number, because the mean of its divisors is an integer number (16719433668).

Almost surely, 2^{1012012121120} is an apocalyptic number.

1012012121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012012121120 is an abundant number, since it is smaller than the sum of its proper divisors (2198119143136).

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

1012012121120 is a wasteful number, since it uses less digits than its factorization.

1012012121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6318803 (or 6318795 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1012012121120 its reverse (211212102101), we get a palindrome (1223224223221).

The spelling of 1012012121120 in words is "one trillion, twelve billion, twelve million, one hundred twenty-one thousand, one hundred twenty".