220120202011000 has 256 divisors, whose sum is σ = 520407874396800. Its totient is φ = 87141906432000.

The previous prime is 220120202010983. The next prime is 220120202011009. The reversal of 220120202011000 is 110202021022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220120202011009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77045921572 + ... + 77045924428.

Almost surely, 2^{220120202011000} is an apocalyptic number.

220120202011000 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 220120202011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260203937198400).

220120202011000 is an abundant number, since it is smaller than the sum of its proper divisors (300287672385800).

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

220120202011000 is a wasteful number, since it uses less digits than its factorization.

220120202011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4515 (or 4501 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220120202011000 its reverse (110202021022), we get a palindrome (220230404032022).

The spelling of 220120202011000 in words is "two hundred twenty trillion, one hundred twenty billion, two hundred two million, eleven thousand".