1011200211120 has 320 divisors, whose sum is σ = 3630997601280. Its totient is φ = 230073139200.

The previous prime is 1011200211089. The next prime is 1011200211163. The reversal of 1011200211120 is 211120021101.

1011200211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1011200211096 and 1011200211105.

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, 16080540 + ... + 16143300.

It is an arithmetic number, because the mean of its divisors is an integer number (11346867504).

Almost surely, 2^{1011200211120} is an apocalyptic number.

1011200211120 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 1011200211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815498800640).

1011200211120 is an abundant number, since it is smaller than the sum of its proper divisors (2619797390160).

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

1011200211120 is a wasteful number, since it uses less digits than its factorization.

1011200211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63164 (or 63158 counting only the distinct ones).

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

Adding to 1011200211120 its reverse (211120021101), we get a palindrome (1222320232221).

The spelling of 1011200211120 in words is "one trillion, eleven billion, two hundred million, two hundred eleven thousand, one hundred twenty".