120480378564 has 384 divisors, whose sum is σ = 393555456000. Its totient is φ = 28327864320.

The previous prime is 120480378509. The next prime is 120480378569. The reversal of 120480378564 is 465873084021.

It is a super-3 number, since 3×120480378564³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (120480378569) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17279599 + ... + 17286569.

It is an arithmetic number, because the mean of its divisors is an integer number (1024884000).

Almost surely, 2^120480378564 is an apocalyptic number.

120480378564 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 120480378564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196777728000).

120480378564 is an abundant number, since it is smaller than the sum of its proper divisors (273075077436).

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

120480378564 is a wasteful number, since it uses less digits than its factorization.

120480378564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7048 (or 7032 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 120480378564 in words is "one hundred twenty billion, four hundred eighty million, three hundred seventy-eight thousand, five hundred sixty-four".