3220121031120 has 120 divisors (see below), whose sum is σ = 12359131214976. Its totient is φ = 736027663104.

The previous prime is 3220121031103. The next prime is 3220121031151. The reversal of 3220121031120 is 211301210223.

3220121031120 is a `hidden beast` number, since 322 + 0 + 1 + 2 + 10 + 311 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3220121031120² (a number of 26 digits) contains 22 as substring.

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 = 3220121031093 and 3220121031102.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 319451412 + ... + 319461491.

Almost surely, 2^{3220121031120} is an apocalyptic number.

3220121031120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3220121031120 is an abundant number, since it is smaller than the sum of its proper divisors (9139010183856).

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

3220121031120 is a wasteful number, since it uses less digits than its factorization.

3220121031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638912929 (or 638912920 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3220121031120 its reverse (211301210223), we get a palindrome (3431422241343).

The spelling of 3220121031120 in words is "three trillion, two hundred twenty billion, one hundred twenty-one million, thirty-one thousand, one hundred twenty".