3221212101120 has 960 divisors, whose sum is σ = 12211802707104. Its totient is φ = 779983257600.

The previous prime is 3221212101059. The next prime is 3221212101131. The reversal of 3221212101120 is 211012121223.

3221212101120 is a `hidden beast` number, since 322 + 1 + 21 + 210 + 112 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 647728793856 + 2573483307264 = 804816^2 + 1604208^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 3221212101093 and 3221212101102.

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, 7048603932 + ... + 7048604388.

Almost surely, 2^{3221212101120} is an apocalyptic number.

3221212101120 is a gapful number since it is divisible by the number (30) 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 3221212101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6105901353552).

3221212101120 is an abundant number, since it is smaller than the sum of its proper divisors (8990590605984).

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

3221212101120 is a wasteful number, since it uses less digits than its factorization.

3221212101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 3221212101120 its reverse (211012121223), we get a palindrome (3432224222343).

The spelling of 3221212101120 in words is "three trillion, two hundred twenty-one billion, two hundred twelve million, one hundred one thousand, one hundred twenty".