121374288 has 200 divisors, whose sum is σ = 425633472. Its totient is φ = 32596992.

The previous prime is 121374283. The next prime is 121374307. The reversal of 121374288 is 882473121.

121374288 = 234³ + 235³ + ... + 242³.

121374288 is a `hidden beast` number, since 1 + 2 + 1 + 374 + 288 = 666.

It is a Cunningham number, because it is equal to 11017²-1.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121374283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 153831 + ... + 154617.

Almost surely, 2^121374288 is an apocalyptic number.

121374288 is a gapful number since it is divisible by the number (18) 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 121374288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212816736).

121374288 is an abundant number, since it is smaller than the sum of its proper divisors (304259184).

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

121374288 is a wasteful number, since it uses less digits than its factorization.

121374288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 816 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 121374288 is about 11016.9999546156. Note that the first 4 decimals coincide. The cubic root of 121374288 is about 495.1182086835.

The spelling of 121374288 in words is "one hundred twenty-one million, three hundred seventy-four thousand, two hundred eighty-eight".