120014161920 has 768 divisors, whose sum is σ = 452591193600. Its totient is φ = 30480924672.

The previous prime is 120014161919. The next prime is 120014161937. The reversal of 120014161920 is 29161410021.

120014161920 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 1 + 41 + 619 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×120014161920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 515082124 + ... + 515082356.

It is an arithmetic number, because the mean of its divisors is an integer number (589311450).

Almost surely, 2^120014161920 is an apocalyptic number.

120014161920 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 120014161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226295596800).

120014161920 is an abundant number, since it is smaller than the sum of its proper divisors (332577031680).

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

120014161920 is an frugal number, since it uses more digits than its factorization.

120014161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 120014161920 its reverse (29161410021), we get a palindrome (149175571941).

The spelling of 120014161920 in words is "one hundred twenty billion, fourteen million, one hundred sixty-one thousand, nine hundred twenty".