3022211013120 has 480 divisors, whose sum is σ = 11308265880912. Its totient is φ = 741529092096.

The previous prime is 3022211013109. The next prime is 3022211013131. The reversal of 3022211013120 is 213101122203.

3022211013120 is a `hidden beast` number, since 30 + 2 + 221 + 101 + 312 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3022211013109) and next prime (3022211013131).

It can be written as a sum of positive squares in 8 ways, for example, as 647110842624 + 2375100170496 = 804432^2 + 1541136^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 = 3022211013093 and 3022211013102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93733642 + ... + 93765878.

Almost surely, 2^{3022211013120} is an apocalyptic number.

3022211013120 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 3022211013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654132940456).

3022211013120 is an abundant number, since it is smaller than the sum of its proper divisors (8286054867792).

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

3022211013120 is a wasteful number, since it uses less digits than its factorization.

3022211013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32592 (or 32573 counting only the distinct ones).

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

Adding to 3022211013120 its reverse (213101122203), we get a palindrome (3235312135323).

The spelling of 3022211013120 in words is "three trillion, twenty-two billion, two hundred eleven million, thirteen thousand, one hundred twenty".