1311222123120 has 320 divisors, whose sum is σ = 5138031144960. Its totient is φ = 269176172544.

The previous prime is 1311222123103. The next prime is 1311222123131. The reversal of 1311222123120 is 213212221131.

It is a super-3 number, since 3×1311222123120³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 3240 + ... + 1619399.

It is an arithmetic number, because the mean of its divisors is an integer number (16056347328).

Almost surely, 2^{1311222123120} is an apocalyptic number.

1311222123120 is a gapful number since it is divisible by the number (10) 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 1311222123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569015572480).

1311222123120 is an abundant number, since it is smaller than the sum of its proper divisors (3826809021840).

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

1311222123120 is a wasteful number, since it uses less digits than its factorization.

1311222123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622712 (or 1622706 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1311222123120 its reverse (213212221131), we get a palindrome (1524434344251).

The spelling of 1311222123120 in words is "one trillion, three hundred eleven billion, two hundred twenty-two million, one hundred twenty-three thousand, one hundred twenty".