220042214524000 has 192 divisors, whose sum is σ = 592437989025792. Its totient is φ = 79656533952000.

The previous prime is 220042214523973. The next prime is 220042214524061. The reversal of 220042214524000 is 425412240022.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 220042214524000.

It is a congruent number.

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, 1400914 + ... + 21024913.

It is an arithmetic number, because the mean of its divisors is an integer number (3085614526176).

Almost surely, 2^{220042214524000} is an apocalyptic number.

220042214524000 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 220042214524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296218994512896).

220042214524000 is an abundant number, since it is smaller than the sum of its proper divisors (372395774501792).

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

220042214524000 is a wasteful number, since it uses less digits than its factorization.

220042214524000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22426086 (or 22426068 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 220042214524000 its reverse (425412240022), we get a palindrome (220467626764022).

The spelling of 220042214524000 in words is "two hundred twenty trillion, forty-two billion, two hundred fourteen million, five hundred twenty-four thousand".