1311212022120 has 1536 divisors, whose sum is σ = 6015578849280. Its totient is φ = 238908579840.

The previous prime is 1311212022101. The next prime is 1311212022151. The reversal of 1311212022120 is 212202121131.

1311212022120 is a `hidden beast` number, since 1 + 311 + 212 + 0 + 22 + 120 = 666.

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 = 1311212022093 and 1311212022102.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 573331617 + ... + 573333903.

It is an arithmetic number, because the mean of its divisors is an integer number (3916392480).

Almost surely, 2^{1311212022120} is an apocalyptic number.

1311212022120 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 1311212022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007789424640).

1311212022120 is an abundant number, since it is smaller than the sum of its proper divisors (4704366827160).

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

1311212022120 is a wasteful number, since it uses less digits than its factorization.

1311212022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1311212022120 its reverse (212202121131), we get a palindrome (1523414143251).

The spelling of 1311212022120 in words is "one trillion, three hundred eleven billion, two hundred twelve million, twenty-two thousand, one hundred twenty".