1011200012220 has 288 divisors, whose sum is σ = 3094231976640. Its totient is φ = 246513991680.

The previous prime is 1011200012177. The next prime is 1011200012227. The reversal of 1011200012220 is 222100021101.

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 = 1011200012196 and 1011200012205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011200012227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 565231086 + ... + 565232874.

It is an arithmetic number, because the mean of its divisors is an integer number (10743861030).

Almost surely, 2^{1011200012220} is an apocalyptic number.

1011200012220 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 1011200012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547115988320).

1011200012220 is an abundant number, since it is smaller than the sum of its proper divisors (2083031964420).

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

1011200012220 is a wasteful number, since it uses less digits than its factorization.

1011200012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2734 counting only the distinct ones).

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

Adding to 1011200012220 its reverse (222100021101), we get a palindrome (1233300033321).

The spelling of 1011200012220 in words is "one trillion, eleven billion, two hundred million, twelve thousand, two hundred twenty".