1011200221220 has 96 divisors (see below), whose sum is σ = 2442888806400. Its totient is φ = 344416881024.

The previous prime is 1011200221183. The next prime is 1011200221249. The reversal of 1011200221220 is 221220021101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1011200221195 and 1011200221204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14920571 + ... + 14988189.

It is an arithmetic number, because the mean of its divisors is an integer number (25446758400).

Almost surely, 2^{1011200221220} is an apocalyptic number.

1011200221220 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 1011200221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221444403200).

1011200221220 is an abundant number, since it is smaller than the sum of its proper divisors (1431688585180).

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

1011200221220 is a wasteful number, since it uses less digits than its factorization.

1011200221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68337 (or 68335 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1011200221220 its reverse (221220021101), we get a palindrome (1232420242321).

The spelling of 1011200221220 in words is "one trillion, eleven billion, two hundred million, two hundred twenty-one thousand, two hundred twenty".