121642560 has 420 divisors, whose sum is σ = 491805468. Its totient is φ = 28366848.

The previous prime is 121642553. The next prime is 121642597. The reversal of 121642560 is 65246121.

121642560 is a `hidden beast` number, since 12 + 1 + 642 + 5 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29942784 + 91699776 = 5472^2 + 9576^2 .

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 59 ways as a sum of consecutive naturals, for example, 6402231 + ... + 6402249.

Almost surely, 2^121642560 is an apocalyptic number.

121642560 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 121642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245902734).

121642560 is an abundant number, since it is smaller than the sum of its proper divisors (370162908).

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

121642560 is a wasteful number, since it uses less digits than its factorization.

121642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 121642560 is about 11029.1685996724. The cubic root of 121642560 is about 495.4827246855.

Adding to 121642560 its reverse (65246121), we get a palindrome (186888681).

The spelling of 121642560 in words is "one hundred twenty-one million, six hundred forty-two thousand, five hundred sixty".