1341122114400 has 144 divisors (see below), whose sum is σ = 4383619430400. Its totient is φ = 356136040960.

The previous prime is 1341122114333. The next prime is 1341122114401. The reversal of 1341122114400 is 44112211431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341122114401) 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 23 ways as a sum of consecutive naturals, for example, 595440 + ... + 1742639.

It is an arithmetic number, because the mean of its divisors is an integer number (30441801600).

Almost surely, 2^{1341122114400} is an apocalyptic number.

1341122114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1341122114400 is an abundant number, since it is smaller than the sum of its proper divisors (3042497316000).

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

1341122114400 is a wasteful number, since it uses less digits than its factorization.

1341122114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338341 (or 2338328 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1341122114400 its reverse (44112211431), we get a palindrome (1385234325831).

The spelling of 1341122114400 in words is "one trillion, three hundred forty-one billion, one hundred twenty-two million, one hundred fourteen thousand, four hundred".