1000121112120 has 128 divisors (see below), whose sum is σ = 3240162777600. Its totient is φ = 245497772544.

The previous prime is 1000121112119. The next prime is 1000121112167. The reversal of 1000121112120 is 212111210001.

It is a super-2 number, since 2×1000121112120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1000121112096 and 1000121112105.

It is a congruent number.

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, 332862 + ... + 1452941.

It is an arithmetic number, because the mean of its divisors is an integer number (25313771700).

Almost surely, 2^{1000121112120} is an apocalyptic number.

1000121112120 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 1000121112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620081388800).

1000121112120 is an abundant number, since it is smaller than the sum of its proper divisors (2240041665480).

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

1000121112120 is a wasteful number, since it uses less digits than its factorization.

1000121112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786189 (or 1786185 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1000121112120 its reverse (212111210001), we get a palindrome (1212232322121).

The spelling of 1000121112120 in words is "one trillion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty".