1320121346040 has 384 divisors, whose sum is σ = 5007360384000. Its totient is φ = 301501751040.

The previous prime is 1320121346039. The next prime is 1320121346041. The reversal of 1320121346040 is 406431210231.

It is a happy number.

1320121346040 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 21 + 34 + 604 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1320121346039) and next prime (1320121346041).

It is a super-2 number, since 2×1320121346040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1320121345995 and 1320121346013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320121346041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189044389 + ... + 189051371.

It is an arithmetic number, because the mean of its divisors is an integer number (13040001000).

Almost surely, 2^{1320121346040} is an apocalyptic number.

1320121346040 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 1320121346040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503680192000).

1320121346040 is an abundant number, since it is smaller than the sum of its proper divisors (3687239037960).

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

1320121346040 is a wasteful number, since it uses less digits than its factorization.

1320121346040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8552 (or 8531 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1320121346040 its reverse (406431210231), we get a palindrome (1726552556271).

The spelling of 1320121346040 in words is "one trillion, three hundred twenty billion, one hundred twenty-one million, three hundred forty-six thousand, forty".