121314444401140 has 12 divisors (see below), whose sum is σ = 254760333242436. Its totient is φ = 48525777760448.

The previous prime is 121314444400967. The next prime is 121314444401141. The reversal of 121314444401140 is 41104444413121.

It can be written as a sum of positive squares in 2 ways, for example, as 23783295283344 + 97531149117796 = 4876812^2 + 9875786^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121314444401096 and 121314444401105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121314444401141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3032861110009 + ... + 3032861110048.

It is an arithmetic number, because the mean of its divisors is an integer number (21230027770203).

Almost surely, 2^{121314444401140} is an apocalyptic number.

121314444401140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121314444401140 is an abundant number, since it is smaller than the sum of its proper divisors (133445888841296).

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

121314444401140 is a wasteful number, since it uses less digits than its factorization.

121314444401140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6065722220066 (or 6065722220064 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

Adding to 121314444401140 its reverse (41104444413121), we get a palindrome (162418888814261).

The spelling of 121314444401140 in words is "one hundred twenty-one trillion, three hundred fourteen billion, four hundred forty-four million, four hundred one thousand, one hundred forty".