7121400 has 192 divisors, whose sum is σ = 26248320. Its totient is φ = 1574400.

The previous prime is 7121399. The next prime is 7121407. The reversal of 7121400 is 41217.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 7121400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7121407) 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 47 ways as a sum of consecutive naturals, for example, 85759 + ... + 85841.

It is an arithmetic number, because the mean of its divisors is an integer number (136710).

Almost surely, 2^7121400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

7121400 is an abundant number, since it is smaller than the sum of its proper divisors (19126920).

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

7121400 is a wasteful number, since it uses less digits than its factorization.

7121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 7121400 is about 2668.5951360219. The cubic root of 7121400 is about 192.3926426735.

Adding to 7121400 its reverse (41217), we get a palindrome (7162617).

It can be divided in two parts, 712 and 1400, that added together give a palindrome (2112).

The spelling of 7121400 in words is "seven million, one hundred twenty-one thousand, four hundred".