1211111010120 has 256 divisors, whose sum is σ = 4176928788480. Its totient is φ = 278056064000.

The previous prime is 1211111010103. The next prime is 1211111010127. The reversal of 1211111010120 is 210101111121.

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 = 1211111010096 and 1211111010105.

It is not an unprimeable number, because it can be changed into a prime (1211111010127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2868877 + ... + 3263843.

It is an arithmetic number, because the mean of its divisors is an integer number (16316128080).

Almost surely, 2^{1211111010120} is an apocalyptic number.

1211111010120 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 1211111010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088464394240).

1211111010120 is an abundant number, since it is smaller than the sum of its proper divisors (2965817778360).

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

1211111010120 is a wasteful number, since it uses less digits than its factorization.

1211111010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395116 (or 395112 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1211111010120 its reverse (210101111121), we get a palindrome (1421212121241).

The spelling of 1211111010120 in words is "one trillion, two hundred eleven billion, one hundred eleven million, ten thousand, one hundred twenty".