712121280 has 224 divisors, whose sum is σ = 2493410304. Its totient is φ = 171085824.

The previous prime is 712121257. The next prime is 712121309. The reversal of 712121280 is 82121217.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 712121280.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 535977 + ... + 537303.

It is an arithmetic number, because the mean of its divisors is an integer number (11131296).

Almost surely, 2^712121280 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 712121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246705152).

712121280 is an abundant number, since it is smaller than the sum of its proper divisors (1781289024).

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

712121280 is a wasteful number, since it uses less digits than its factorization.

712121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 712121280 is about 26685.6006115658. The cubic root of 712121280 is about 892.9997170142. Note that the first 3 decimals are identical.

Adding to 712121280 its reverse (82121217), we get a palindrome (794242497).

The spelling of 712121280 in words is "seven hundred twelve million, one hundred twenty-one thousand, two hundred eighty".