120201400 has 72 divisors (see below), whose sum is σ = 307245960. Its totient is φ = 43700800.

The previous prime is 120201397. The next prime is 120201409. The reversal of 120201400 is 4102021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120201409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21717 + ... + 26683.

It is an arithmetic number, because the mean of its divisors is an integer number (4267305).

Almost surely, 2^120201400 is an apocalyptic number.

120201400 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 120201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153622980).

120201400 is an abundant number, since it is smaller than the sum of its proper divisors (187044560).

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

120201400 is a wasteful number, since it uses less digits than its factorization.

120201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 120201400 is about 10963.6399065274. The cubic root of 120201400 is about 493.5182023646.

Adding to 120201400 its reverse (4102021), we get a palindrome (124303421).

The spelling of 120201400 in words is "one hundred twenty million, two hundred one thousand, four hundred".