220220011011000 has 1152 divisors, whose sum is σ = 946109840719680. Its totient is φ = 42239957760000.

The previous prime is 220220011010983. The next prime is 220220011011079. The reversal of 220220011011000 is 110110022022.

It is a super-2 number, since 2×220220011011000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 230754810 + ... + 231707190.

Almost surely, 2^{220220011011000} is an apocalyptic number.

220220011011000 is a gapful number since it is divisible by the number (20) 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 220220011011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473054920359840).

220220011011000 is an abundant number, since it is smaller than the sum of its proper divisors (725889829708680).

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

220220011011000 is a wasteful number, since it uses less digits than its factorization.

220220011011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952454 (or 952422 counting only the distinct ones).

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

Adding to 220220011011000 its reverse (110110022022), we get a palindrome (220330121033022).

The spelling of 220220011011000 in words is "two hundred twenty trillion, two hundred twenty billion, eleven million, eleven thousand".