120949078449024 has 1024 divisors, whose sum is σ = 441212832000000. Its totient is φ = 32491938447360.

The previous prime is 120949078448929. The next prime is 120949078449061. The reversal of 120949078449024 is 420944870949021.

120949078449024 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 49 + 0 + 7 + 84 + 490 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26016147052 + ... + 26016151700.

It is an arithmetic number, because the mean of its divisors is an integer number (430871906250).

Almost surely, 2^{120949078449024} is an apocalyptic number.

120949078449024 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 120949078449024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220606416000000).

120949078449024 is an abundant number, since it is smaller than the sum of its proper divisors (320263753550976).

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

120949078449024 is a wasteful number, since it uses less digits than its factorization.

120949078449024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6001 (or 5969 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 120949078449024 in words is "one hundred twenty trillion, nine hundred forty-nine billion, seventy-eight million, four hundred forty-nine thousand, twenty-four".