121142129 has 2 divisors, whose sum is σ = 121142130. Its totient is φ = 121142128.

The previous prime is 121142101. The next prime is 121142159. The reversal of 121142129 is 921241121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121000000 + 142129 = 11000^2 + 377^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-121142129 is a prime.

It is a super-3 number, since 3×121142129³ (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (121142159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60571064 + 60571065.

It is an arithmetic number, because the mean of its divisors is an integer number (60571065).

Almost surely, 2^121142129 is an apocalyptic number.

It is an amenable number.

121142129 is a deficient number, since it is larger than the sum of its proper divisors (1).

121142129 is an equidigital number, since it uses as much as digits as its factorization.

121142129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 288, while the sum is 23.

The square root of 121142129 is about 11006.4585130731. The cubic root of 121142129 is about 494.8023276295.

It can be divided in two parts, 121 and 142129, that multiplied together give a square (17197609 = 4147²).

The spelling of 121142129 in words is "one hundred twenty-one million, one hundred forty-two thousand, one hundred twenty-nine".