120102044400 has 720 divisors, whose sum is σ = 471991936416. Its totient is φ = 28078202880.

The previous prime is 120102044399. The next prime is 120102044401. The reversal of 120102044400 is 4440201021.

120102044400 is a `hidden beast` number, since 1 + 20 + 1 + 0 + 204 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (120102044399) and next prime (120102044401).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120102044401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74457994 + ... + 74459606.

Almost surely, 2^120102044400 is an apocalyptic number.

120102044400 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 120102044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235995968208).

120102044400 is an abundant number, since it is smaller than the sum of its proper divisors (351889892016).

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

120102044400 is a wasteful number, since it uses less digits than its factorization.

120102044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1716 counting only the distinct ones).

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

Adding to 120102044400 its reverse (4440201021), we get a palindrome (124542245421).

The spelling of 120102044400 in words is "one hundred twenty billion, one hundred two million, forty-four thousand, four hundred".