1311222132000 has 576 divisors, whose sum is σ = 5213838284928. Its totient is φ = 309277440000.

The previous prime is 1311222131993. The next prime is 1311222132019. The reversal of 1311222132000 is 2312221131.

1311222132000 is a `hidden beast` number, since 1 + 311 + 222 + 132 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14607255 + ... + 14696745.

It is an arithmetic number, because the mean of its divisors is an integer number (9051802578).

Almost surely, 2^{1311222132000} is an apocalyptic number.

1311222132000 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 1311222132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606919142464).

1311222132000 is an abundant number, since it is smaller than the sum of its proper divisors (3902616152928).

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

1311222132000 is a wasteful number, since it uses less digits than its factorization.

1311222132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89570 (or 89549 counting only the distinct ones).

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

Adding to 1311222132000 its reverse (2312221131), we get a palindrome (1313534353131).

The spelling of 1311222132000 in words is "one trillion, three hundred eleven billion, two hundred twenty-two million, one hundred thirty-two thousand".