3123211132320 has 384 divisors, whose sum is σ = 10405766165760. Its totient is φ = 785234165760.

The previous prime is 3123211132241. The next prime is 3123211132337. The reversal of 3123211132320 is 232311123213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2364277260 + ... + 2364278580.

It is an arithmetic number, because the mean of its divisors is an integer number (27098349390).

Almost surely, 2^{3123211132320} is an apocalyptic number.

3123211132320 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 3123211132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202883082880).

3123211132320 is an abundant number, since it is smaller than the sum of its proper divisors (7282555033440).

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

3123211132320 is a wasteful number, since it uses less digits than its factorization.

3123211132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 3123211132320 its reverse (232311123213), we get a palindrome (3355522255533).

The spelling of 3123211132320 in words is "three trillion, one hundred twenty-three billion, two hundred eleven million, one hundred thirty-two thousand, three hundred twenty".