121838364 has 48 divisors (see below), whose sum is σ = 317751840. Its totient is φ = 40371840.

The previous prime is 121838359. The next prime is 121838369. The reversal of 121838364 is 463838121.

121838364 is a `hidden beast` number, since 1 + 218 + 383 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (121838359) and next prime (121838369).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121838369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15424 + ... + 21944.

It is an arithmetic number, because the mean of its divisors is an integer number (6619830).

Almost surely, 2^121838364 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 121838364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158875920).

121838364 is an abundant number, since it is smaller than the sum of its proper divisors (195913476).

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

121838364 is a wasteful number, since it uses less digits than its factorization.

121838364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6707 (or 6699 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 121838364 is about 11038.0416741377. The cubic root of 121838364 is about 495.7484362112.

The spelling of 121838364 in words is "one hundred twenty-one million, eight hundred thirty-eight thousand, three hundred sixty-four".