120001388400 has 360 divisors, whose sum is σ = 447161049504. Its totient is φ = 29692723200.

The previous prime is 120001388389. The next prime is 120001388407. The reversal of 120001388400 is 4883100021.

120001388400 is a `hidden beast` number, since 120 + 0 + 0 + 138 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120001388407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4331392 + ... + 4359008.

Almost surely, 2^120001388400 is an apocalyptic number.

120001388400 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 120001388400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223580524752).

120001388400 is an abundant number, since it is smaller than the sum of its proper divisors (327159661104).

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

120001388400 is a wasteful number, since it uses less digits than its factorization.

120001388400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27729 (or 27715 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 120001388400 its reverse (4883100021), we get a palindrome (124884488421).

The spelling of 120001388400 in words is "one hundred twenty billion, one million, three hundred eighty-eight thousand, four hundred".