1210001220120 has 512 divisors, whose sum is σ = 4813565460480. Its totient is φ = 235570913280.

The previous prime is 1210001220107. The next prime is 1210001220133. The reversal of 1210001220120 is 210221000121.

It is an interprime number because it is at equal distance from previous prime (1210001220107) and next prime (1210001220133).

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 = 1210001220096 and 1210001220105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35011569 + ... + 35046111.

It is an arithmetic number, because the mean of its divisors is an integer number (9401495040).

Almost surely, 2^{1210001220120} is an apocalyptic number.

1210001220120 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 1210001220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406782730240).

1210001220120 is an abundant number, since it is smaller than the sum of its proper divisors (3603564240360).

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

1210001220120 is a wasteful number, since it uses less digits than its factorization.

1210001220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34815 (or 34811 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1210001220120 its reverse (210221000121), we get a palindrome (1420222220241).

The spelling of 1210001220120 in words is "one trillion, two hundred ten billion, one million, two hundred twenty thousand, one hundred twenty".