120553461 has 64 divisors (see below), whose sum is σ = 218880000. Its totient is φ = 64043136.

The previous prime is 120553427. The next prime is 120553469. The reversal of 120553461 is 164355021.

120553461 is a `hidden beast` number, since 120 + 5 + 534 + 6 + 1 = 666.

It is not a de Polignac number, because 120553461 - 2¹¹ = 120551413 is a prime.

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

It is a Curzon number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120553469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211585 + ... + 212153.

It is an arithmetic number, because the mean of its divisors is an integer number (3420000).

Almost surely, 2^120553461 is an apocalyptic number.

It is an amenable number.

120553461 is a deficient number, since it is larger than the sum of its proper divisors (98326539).

120553461 is a wasteful number, since it uses less digits than its factorization.

120553461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 120553461 is about 10979.6840118466. The cubic root of 120553461 is about 493.9995588079. Note that the first 3 decimals are identical.

The spelling of 120553461 in words is "one hundred twenty million, five hundred fifty-three thousand, four hundred sixty-one".