120885623040 has 1152 divisors, whose sum is σ = 501077606400. Its totient is φ = 24153292800.

The previous prime is 120885623021. The next prime is 120885623081. The reversal of 120885623040 is 40326588021.

It is a super-2 number, since 2×120885623040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 120885623040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 800566965 + ... + 800567115.

It is an arithmetic number, because the mean of its divisors is an integer number (434963200).

Almost surely, 2^120885623040 is an apocalyptic number.

120885623040 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 120885623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250538803200).

120885623040 is an abundant number, since it is smaller than the sum of its proper divisors (380191983360).

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

120885623040 is a wasteful number, since it uses less digits than its factorization.

120885623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 120885623040 in words is "one hundred twenty billion, eight hundred eighty-five million, six hundred twenty-three thousand, forty".