120562414560 has 1152 divisors, whose sum is σ = 523635840000. Its totient is φ = 25149616128.

The previous prime is 120562414549. The next prime is 120562414571. The reversal of 120562414560 is 65414265021.

120562414560 is a `hidden beast` number, since 1 + 2 + 0 + 56 + 2 + 41 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (120562414549) and next prime (120562414571).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 272149699 + ... + 272150141.

It is an arithmetic number, because the mean of its divisors is an integer number (454545000).

Almost surely, 2^120562414560 is an apocalyptic number.

120562414560 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 120562414560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261817920000).

120562414560 is an abundant number, since it is smaller than the sum of its proper divisors (403073425440).

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

120562414560 is a wasteful number, since it uses less digits than its factorization.

120562414560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 120562414560 its reverse (65414265021), we get a palindrome (185976679581).

The spelling of 120562414560 in words is "one hundred twenty billion, five hundred sixty-two million, four hundred fourteen thousand, five hundred sixty".