3121011333220 has 96 divisors (see below), whose sum is σ = 7531109913600. Its totient is φ = 1074489033600.

The previous prime is 3121011333217. The next prime is 3121011333247. The reversal of 3121011333220 is 223331101213.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3121011333191 and 3121011333200.

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, 6277155 + ... + 6756085.

It is an arithmetic number, because the mean of its divisors is an integer number (78449061600).

Almost surely, 2^{3121011333220} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121011333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765554956800).

3121011333220 is an abundant number, since it is smaller than the sum of its proper divisors (4410098580380).

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

3121011333220 is a wasteful number, since it uses less digits than its factorization.

3121011333220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480529 (or 480527 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 3121011333220 its reverse (223331101213), we get a palindrome (3344342434433).

The spelling of 3121011333220 in words is "three trillion, one hundred twenty-one billion, eleven million, three hundred thirty-three thousand, two hundred twenty".