1312231122000 has 480 divisors, whose sum is σ = 4983984424224. Its totient is φ = 320440320000.

The previous prime is 1312231121951. The next prime is 1312231122031. The reversal of 1312231122000 is 2211322131.

1312231122000 is a `hidden beast` number, since 1 + 312 + 231 + 122 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 895385277504 + 416845844496 = 946248^2 + 645636^2 .

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

It is a congruent number.

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, 11264050 + ... + 11379950.

Almost surely, 2^{1312231122000} is an apocalyptic number.

1312231122000 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 1312231122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491992212112).

1312231122000 is an abundant number, since it is smaller than the sum of its proper divisors (3671753302224).

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

1312231122000 is a wasteful number, since it uses less digits than its factorization.

1312231122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115984 (or 115965 counting only the distinct ones).

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

Adding to 1312231122000 its reverse (2211322131), we get a palindrome (1314442444131).

The spelling of 1312231122000 in words is "one trillion, three hundred twelve billion, two hundred thirty-one million, one hundred twenty-two thousand".