121533126 has 96 divisors (see below), whose sum is σ = 293153280. Its totient is φ = 33359040.

The previous prime is 121533107. The next prime is 121533133. The reversal of 121533126 is 621335121.

It is a junction number, because it is equal to n+sod(n) for n = 121533096 and 121533105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 745521 + ... + 745683.

It is an arithmetic number, because the mean of its divisors is an integer number (3053680).

Almost surely, 2^121533126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121533126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146576640).

121533126 is an abundant number, since it is smaller than the sum of its proper divisors (171620154).

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

121533126 is a wasteful number, since it uses less digits than its factorization.

121533126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 271 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 121533126 is about 11024.2063659930. The cubic root of 121533126 is about 495.3340954424.

Adding to 121533126 its reverse (621335121), we get a palindrome (742868247).

The spelling of 121533126 in words is "one hundred twenty-one million, five hundred thirty-three thousand, one hundred twenty-six".