121142124 has 36 divisors (see below), whose sum is σ = 312740064. Its totient is φ = 39520992.

The previous prime is 121142101. The next prime is 121142129. The reversal of 121142124 is 421241121.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×121142124³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 121142097 and 121142106.

It is not an unprimeable number, because it can be changed into a prime (121142129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34107 + ... + 37490.

It is an arithmetic number, because the mean of its divisors is an integer number (8687224).

Almost surely, 2^121142124 is an apocalyptic number.

It is an amenable number.

121142124 is an abundant number, since it is smaller than the sum of its proper divisors (191597940).

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

121142124 is a wasteful number, since it uses less digits than its factorization.

121142124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71654 (or 71649 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 121142124 is about 11006.4582859338. The cubic root of 121142124 is about 494.8023208221.

Adding to 121142124 its reverse (421241121), we get a palindrome (542383245).

The spelling of 121142124 in words is "one hundred twenty-one million, one hundred forty-two thousand, one hundred twenty-four".