120135031881480 has 2048 divisors, whose sum is σ = 528309043200000. Its totient is φ = 24046577049600.

The previous prime is 120135031881463. The next prime is 120135031881509. The reversal of 120135031881480 is 84188130531021.

120135031881480 is a `hidden beast` number, since 1 + 2 + 0 + 13 + 50 + 31 + 8 + 81 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 28927287084 + ... + 28927291236.

It is an arithmetic number, because the mean of its divisors is an integer number (257963400000).

Almost surely, 2^{120135031881480} is an apocalyptic number.

120135031881480 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 120135031881480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264154521600000).

120135031881480 is an abundant number, since it is smaller than the sum of its proper divisors (408174011318520).

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

120135031881480 is a wasteful number, since it uses less digits than its factorization.

120135031881480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 120135031881480 in words is "one hundred twenty trillion, one hundred thirty-five billion, thirty-one million, eight hundred eighty-one thousand, four hundred eighty".