1321100001120 has 192 divisors, whose sum is σ = 4262802888960. Its totient is φ = 343732021248.

The previous prime is 1321100001103. The next prime is 1321100001121. The reversal of 1321100001120 is 211000011231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1321100001096 and 1321100001105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321100001121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19512286 + ... + 19579874.

It is an arithmetic number, because the mean of its divisors is an integer number (22202098380).

Almost surely, 2^{1321100001120} is an apocalyptic number.

1321100001120 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 1321100001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131401444480).

1321100001120 is an abundant number, since it is smaller than the sum of its proper divisors (2941702887840).

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

1321100001120 is a wasteful number, since it uses less digits than its factorization.

1321100001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68597 (or 68589 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1321100001120 its reverse (211000011231), we get a palindrome (1532100012351).

The spelling of 1321100001120 in words is "one trillion, three hundred twenty-one billion, one hundred million, one thousand, one hundred twenty".