120005331264 has 336 divisors, whose sum is σ = 427328673408. Its totient is φ = 31352500224.

The previous prime is 120005331241. The next prime is 120005331307. The reversal of 120005331264 is 462133500021.

120005331264 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 0 + 533 + 126 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5597814 + ... + 5619210.

It is an arithmetic number, because the mean of its divisors is an integer number (1271811528).

Almost surely, 2^120005331264 is an apocalyptic number.

120005331264 is a gapful number since it is divisible by the number (14) 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 120005331264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213664336704).

120005331264 is an abundant number, since it is smaller than the sum of its proper divisors (307323342144).

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

120005331264 is a wasteful number, since it uses less digits than its factorization.

120005331264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21542 (or 21529 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 120005331264 its reverse (462133500021), we get a palindrome (582138831285).

The spelling of 120005331264 in words is "one hundred twenty billion, five million, three hundred thirty-one thousand, two hundred sixty-four".