120420014400 has 504 divisors, whose sum is σ = 510421152384. Its totient is φ = 26327347200.

The previous prime is 120420014399. The next prime is 120420014441. The reversal of 120420014400 is 4410024021.

120420014400 is a `hidden beast` number, since 1 + 20 + 4 + 200 + 1 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2292430 + ... + 2344370.

Almost surely, 2^120420014400 is an apocalyptic number.

120420014400 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 120420014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255210576192).

120420014400 is an abundant number, since it is smaller than the sum of its proper divisors (390001137984).

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

120420014400 is a wasteful number, since it uses less digits than its factorization.

120420014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51999 (or 51981 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 120420014400 its reverse (4410024021), we get a palindrome (124830038421).

The spelling of 120420014400 in words is "one hundred twenty billion, four hundred twenty million, fourteen thousand, four hundred".