121832640 has 224 divisors, whose sum is σ = 438912000. Its totient is φ = 31804416.

The previous prime is 121832561. The next prime is 121832647. The reversal of 121832640 is 46238121.

121832640 is a `hidden beast` number, since 1 + 2 + 18 + 3 + 2 + 640 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (121832647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509641 + ... + 509879.

Almost surely, 2^121832640 is an apocalyptic number.

121832640 is a gapful number since it is divisible by the number (10) 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 121832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219456000).

121832640 is an abundant number, since it is smaller than the sum of its proper divisors (317079360).

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

121832640 is a wasteful number, since it uses less digits than its factorization.

121832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 308 counting only the distinct ones).

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

The square root of 121832640 is about 11037.7823859687. The cubic root of 121832640 is about 495.7406726235.

The spelling of 121832640 in words is "one hundred twenty-one million, eight hundred thirty-two thousand, six hundred forty".