1201900 has 72 divisors (see below), whose sum is σ = 3187296. Its totient is φ = 384000.

The previous prime is 1201873. The next prime is 1201909. The reversal of 1201900 is 91021.

It is a super-2 number, since 2×1201900² = 2889127220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1201909) 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 23 ways as a sum of consecutive naturals, for example, 11850 + ... + 11950.

It is an arithmetic number, because the mean of its divisors is an integer number (44268).

2^1201900 is an apocalyptic number.

1201900 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 1201900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593648).

1201900 is an abundant number, since it is smaller than the sum of its proper divisors (1985396).

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

1201900 is a wasteful number, since it uses less digits than its factorization.

1201900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1201900 is about 1096.3119993870. The cubic root of 1201900 is about 106.3219121018.

Adding to 1201900 its reverse (91021), we get a palindrome (1292921).

The spelling of 1201900 in words is "one million, two hundred one thousand, nine hundred".