121287376 has 80 divisors (see below), whose sum is σ = 280204288. Its totient is φ = 49766400.

The previous prime is 121287329. The next prime is 121287377. The reversal of 121287376 is 673782121.

It is a Cunningham number, because it is equal to 495³+1.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 121287376 = 1³ + 495³ = 334³ + 438³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121287377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628336 + ... + 628528.

Almost surely, 2^121287376 is an apocalyptic number.

121287376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121287376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140102144).

121287376 is an abundant number, since it is smaller than the sum of its proper divisors (158916912).

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

121287376 is a wasteful number, since it uses less digits than its factorization.

121287376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its digits is 28224, while the sum is 37.

The square root of 121287376 is about 11013.0547987377. The cubic root of 121287376 is about 495.0000013604. Note that the first 5 decimals are identical.

It can be divided in two parts, 1212 and 87376, that added together give a palindrome (88588).

The spelling of 121287376 in words is "one hundred twenty-one million, two hundred eighty-seven thousand, three hundred seventy-six".