1321539261120 has 560 divisors, whose sum is σ = 5158148688000. Its totient is φ = 319159885824.

The previous prime is 1321539261109. The next prime is 1321539261131. The reversal of 1321539261120 is 211629351231.

It is a happy number.

1321539261120 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 5 + 39 + 2 + 611 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1321539261109) and next prime (1321539261131).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17821881 + ... + 17895879.

It is an arithmetic number, because the mean of its divisors is an integer number (9210979800).

Almost surely, 2^{1321539261120} is an apocalyptic number.

1321539261120 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 1321539261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579074344000).

1321539261120 is an abundant number, since it is smaller than the sum of its proper divisors (3836609426880).

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

1321539261120 is a wasteful number, since it uses less digits than its factorization.

1321539261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74094 (or 74075 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 1321539261120 in words is "one trillion, three hundred twenty-one billion, five hundred thirty-nine million, two hundred sixty-one thousand, one hundred twenty".