121142111244 has 192 divisors, whose sum is σ = 359197977600. Its totient is φ = 30865536000.

The previous prime is 121142111221. The next prime is 121142111327. The reversal of 121142111244 is 442111241121.

It is a super-3 number, since 3×121142111244³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10166362 + ... + 10178270.

It is an arithmetic number, because the mean of its divisors is an integer number (1870822800).

Almost surely, 2^121142111244 is an apocalyptic number.

121142111244 is a gapful number since it is divisible by the number (14) 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 121142111244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179598988800).

121142111244 is an abundant number, since it is smaller than the sum of its proper divisors (238055866356).

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

121142111244 is a wasteful number, since it uses less digits than its factorization.

121142111244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12144 (or 12142 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

Adding to 121142111244 its reverse (442111241121), we get a palindrome (563253352365).

The spelling of 121142111244 in words is "one hundred twenty-one billion, one hundred forty-two million, one hundred eleven thousand, two hundred forty-four".