220011101022000 has 320 divisors, whose sum is σ = 715872134001024. Its totient is φ = 58127737651200.

The previous prime is 220011101021951. The next prime is 220011101022001. The reversal of 220011101022000 is 220101110022.

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

It is not an unprimeable number, because it can be changed into a prime (220011101022001) 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, 1774264002 + ... + 1774387998.

Almost surely, 2^{220011101022000} is an apocalyptic number.

220011101022000 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 220011101022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357936067000512).

220011101022000 is an abundant number, since it is smaller than the sum of its proper divisors (495861032979024).

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

220011101022000 is a wasteful number, since it uses less digits than its factorization.

220011101022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126753 (or 126737 counting only the distinct ones).

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

Adding to 220011101022000 its reverse (220101110022), we get a palindrome (220231202132022).

The spelling of 220011101022000 in words is "two hundred twenty trillion, eleven billion, one hundred one million, twenty-two thousand".