220211442000 has 480 divisors, whose sum is σ = 868000872960. Its totient is φ = 51542400000.

The previous prime is 220211441909. The next prime is 220211442023. The reversal of 220211442000 is 244112022.

220211442000 is a `hidden beast` number, since 220 + 2 + 1 + 1 + 442 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5722825 + ... + 5761175.

It is an arithmetic number, because the mean of its divisors is an integer number (1808335152).

Almost surely, 2^220211442000 is an apocalyptic number.

220211442000 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 220211442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434000436480).

220211442000 is an abundant number, since it is smaller than the sum of its proper divisors (647789430960).

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

220211442000 is a wasteful number, since it uses less digits than its factorization.

220211442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38420 (or 38401 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220211442000 its reverse (244112022), we get a palindrome (220455554022).

The spelling of 220211442000 in words is "two hundred twenty billion, two hundred eleven million, four hundred forty-two thousand".