120401200 has 60 divisors (see below), whose sum is σ = 291036928. Its totient is φ = 47865600.

The previous prime is 120401189. The next prime is 120401201. The reversal of 120401200 is 2104021.

It is a super-2 number, since 2×120401200² = 28992897922880000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (120401201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71569 + ... + 73231.

Almost surely, 2^120401200 is an apocalyptic number.

120401200 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 120401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145518464).

120401200 is an abundant number, since it is smaller than the sum of its proper divisors (170635728).

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

120401200 is a wasteful number, since it uses less digits than its factorization.

120401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1851 counting only the distinct ones).

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

The square root of 120401200 is about 10972.7480605362. The cubic root of 120401200 is about 493.7914946700.

Adding to 120401200 its reverse (2104021), we get a palindrome (122505221).

It can be divided in two parts, 12040 and 1200, that multiplied together give a triangular number (14448000 = T₅₃₇₅).

The spelling of 120401200 in words is "one hundred twenty million, four hundred one thousand, two hundred".