20121400 has 96 divisors (see below), whose sum is σ = 51559200. Its totient is φ = 7257600.

The previous prime is 20121391. The next prime is 20121401. The reversal of 20121400 is 412102.

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 (20121401) 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, 184546 + ... + 184654.

It is an arithmetic number, because the mean of its divisors is an integer number (537075).

Almost surely, 2^20121400 is an apocalyptic number.

20121400 is a gapful number since it is divisible by the number (20) 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 20121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25779600).

20121400 is an abundant number, since it is smaller than the sum of its proper divisors (31437800).

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

20121400 is a wasteful number, since it uses less digits than its factorization.

20121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 200 counting only the distinct ones).

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

The square root of 20121400 is about 4485.6883529733. The cubic root of 20121400 is about 271.9898713068.

Adding to 20121400 its reverse (412102), we get a palindrome (20533502).

The spelling of 20121400 in words is "twenty million, one hundred twenty-one thousand, four hundred".