121412124 has 72 divisors (see below), whose sum is σ = 321939072. Its totient is φ = 38507040.

The previous prime is 121412119. The next prime is 121412141. The reversal of 121412124 is 421214121.

It is a super-3 number, since 3×121412124³ (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 = 121412097 and 121412106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273847 + ... + 274289.

It is an arithmetic number, because the mean of its divisors is an integer number (4471376).

Almost surely, 2^121412124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121412124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160969536).

121412124 is an abundant number, since it is smaller than the sum of its proper divisors (200526948).

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

121412124 is a wasteful number, since it uses less digits than its factorization.

121412124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 802 counting only the distinct ones).

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

The square root of 121412124 is about 11018.7169852030. The cubic root of 121412124 is about 495.1696510623.

Adding to 121412124 its reverse (421214121), we get a palindrome (542626245).

The spelling of 121412124 in words is "one hundred twenty-one million, four hundred twelve thousand, one hundred twenty-four".