32220121444344 has 384 divisors, whose sum is σ = 96637509120000. Its totient is φ = 9943080376320.

The previous prime is 32220121444279. The next prime is 32220121444369. The reversal of 32220121444344 is 44344412102223.

32220121444344 is a `hidden beast` number, since 3 + 2 + 2 + 2 + 0 + 1 + 214 + 4 + 434 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32220121444299 and 32220121444308.

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, 1336423362 + ... + 1336447470.

It is an arithmetic number, because the mean of its divisors is an integer number (251660180000).

Almost surely, 2^{32220121444344} is an apocalyptic number.

32220121444344 is a gapful number since it is divisible by the number (34) 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 32220121444344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48318754560000).

32220121444344 is an abundant number, since it is smaller than the sum of its proper divisors (64417387675656).

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

32220121444344 is a wasteful number, since it uses less digits than its factorization.

32220121444344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24508 (or 24481 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 32220121444344 its reverse (44344412102223), we get a palindrome (76564533546567).

The spelling of 32220121444344 in words is "thirty-two trillion, two hundred twenty billion, one hundred twenty-one million, four hundred forty-four thousand, three hundred forty-four".