1211002110120 has 512 divisors, whose sum is σ = 4172416634880. Its totient is φ = 278569082880.

The previous prime is 1211002110119. The next prime is 1211002110139. The reversal of 1211002110120 is 210112001121.

It is a super-2 number, since 2×1211002110120² (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 = 1211002110096 and 1211002110105.

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 127 ways as a sum of consecutive naturals, for example, 337043044 + ... + 337046636.

It is an arithmetic number, because the mean of its divisors is an integer number (8149251240).

Almost surely, 2^{1211002110120} is an apocalyptic number.

1211002110120 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 1211002110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086208317440).

1211002110120 is an abundant number, since it is smaller than the sum of its proper divisors (2961414524760).

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

1211002110120 is a wasteful number, since it uses less digits than its factorization.

1211002110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825 (or 3821 counting only the distinct ones).

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

Adding to 1211002110120 its reverse (210112001121), we get a palindrome (1421114111241).

The spelling of 1211002110120 in words is "one trillion, two hundred eleven billion, two million, one hundred ten thousand, one hundred twenty".