120072705480 has 1536 divisors, whose sum is σ = 535397990400. Its totient is φ = 23514624000.

The previous prime is 120072705461. The next prime is 120072705517. The reversal of 120072705480 is 84507270021.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 795183405 + ... + 795183555.

It is an arithmetic number, because the mean of its divisors is an integer number (348566400).

Almost surely, 2^120072705480 is an apocalyptic number.

120072705480 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 120072705480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267698995200).

120072705480 is an abundant number, since it is smaller than the sum of its proper divisors (415325284920).

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

120072705480 is a wasteful number, since it uses less digits than its factorization.

120072705480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 120072705480 in words is "one hundred twenty billion, seventy-two million, seven hundred five thousand, four hundred eighty".