121411400000 has 504 divisors, whose sum is σ = 344396004120. Its totient is φ = 42380800000.

The previous prime is 121411399987. The next prime is 121411400009. The reversal of 121411400000 is 4114121.

It can be written as a sum of positive squares in 12 ways, for example, as 111470512384 + 9940887616 = 333872^2 + 99704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121411400009) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 701799914 + ... + 701800086.

It is an arithmetic number, because the mean of its divisors is an integer number (683325405).

Almost surely, 2^121411400000 is an apocalyptic number.

121411400000 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 121411400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172198002060).

121411400000 is an abundant number, since it is smaller than the sum of its proper divisors (222984604120).

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

121411400000 is an equidigital number, since it uses as much as digits as its factorization.

121411400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121411400000 its reverse (4114121), we get a palindrome (121415514121).

It can be divided in two parts, 12141 and 1400000, that added together give a palindrome (1412141).

The spelling of 121411400000 in words is "one hundred twenty-one billion, four hundred eleven million, four hundred thousand".