1341123001400 has 192 divisors, whose sum is σ = 3838732430400. Its totient is φ = 424326389760.

The previous prime is 1341123001397. The next prime is 1341123001403. The reversal of 1341123001400 is 41003211431.

It is an interprime number because it is at equal distance from previous prime (1341123001397) and next prime (1341123001403).

It is a super-2 number, since 2×1341123001400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341123001403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86132816 + ... + 86148384.

It is an arithmetic number, because the mean of its divisors is an integer number (19993398075).

Almost surely, 2^{1341123001400} is an apocalyptic number.

1341123001400 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 1341123001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919366215200).

1341123001400 is an abundant number, since it is smaller than the sum of its proper divisors (2497609429000).

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

1341123001400 is a wasteful number, since it uses less digits than its factorization.

1341123001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20338 (or 20329 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1341123001400 its reverse (41003211431), we get a palindrome (1382126212831).

The spelling of 1341123001400 in words is "one trillion, three hundred forty-one billion, one hundred twenty-three million, one thousand, four hundred".