121820436 has 90 divisors (see below), whose sum is σ = 338557758. Its totient is φ = 38188800.

The previous prime is 121820423. The next prime is 121820507. The reversal of 121820436 is 634028121.

121820436 = T₄₅₁ + T₄₅₂ + ... + T₉₃₆.

It can be written as a sum of positive squares in 3 ways, for example, as 11696400 + 110124036 = 3420^2 + 10494^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 92986 + ... + 94286.

Almost surely, 2^121820436 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 121820436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169278879).

121820436 is an abundant number, since it is smaller than the sum of its proper divisors (216737322).

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

121820436 is a wasteful number, since it uses less digits than its factorization.

121820436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 121820436 is about 11037.2295436853. The cubic root of 121820436 is about 495.7241192565.

Adding to 121820436 its reverse (634028121), we get a palindrome (755848557).

The spelling of 121820436 in words is "one hundred twenty-one million, eight hundred twenty thousand, four hundred thirty-six".