121142124441 has 24 divisors (see below), whose sum is σ = 188852159496. Its totient is φ = 74387255040.

The previous prime is 121142124419. The next prime is 121142124443. The reversal of 121142124441 is 144421241121.

121142124441 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 4 + 212 + 4 + 441 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 857318400 + 120284806041 = 29280^2 + 346821^2 .

It is not a de Polignac number, because 121142124441 - 2⁹ = 121142123929 is a prime.

It is a super-3 number, since 3×121142124441³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (121142124443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1069060 + ... + 1176933.

It is an arithmetic number, because the mean of its divisors is an integer number (7868839979).

Almost surely, 2^121142124441 is an apocalyptic number.

It is an amenable number.

121142124441 is a deficient number, since it is larger than the sum of its proper divisors (67710035055).

121142124441 is a wasteful number, since it uses less digits than its factorization.

121142124441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246473 (or 2246470 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

Adding to 121142124441 its reverse (144421241121), we get a palindrome (265563365562).

The spelling of 121142124441 in words is "one hundred twenty-one billion, one hundred forty-two million, one hundred twenty-four thousand, four hundred forty-one".