1012121120120 has 256 divisors, whose sum is σ = 2589003648000. Its totient is φ = 352732262400.

The previous prime is 1012121120111. The next prime is 1012121120147. The reversal of 1012121120120 is 210211212101.

It is a junction number, because it is equal to n+sod(n) for n = 1012121120095 and 1012121120104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1574060519 + ... + 1574061161.

It is an arithmetic number, because the mean of its divisors is an integer number (10113295500).

Almost surely, 2^{1012121120120} is an apocalyptic number.

1012121120120 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 1012121120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294501824000).

1012121120120 is an abundant number, since it is smaller than the sum of its proper divisors (1576882527880).

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

1012121120120 is a wasteful number, since it uses less digits than its factorization.

1012121120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1410 counting only the distinct ones).

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

Adding to 1012121120120 its reverse (210211212101), we get a palindrome (1222332332221).

The spelling of 1012121120120 in words is "one trillion, twelve billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twenty".