1256612280 has 512 divisors, whose sum is σ = 5016453120. Its totient is φ = 244224000.

The previous prime is 1256612233. The next prime is 1256612297. The reversal of 1256612280 is 822166521.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11743987 + ... + 11744093.

It is an arithmetic number, because the mean of its divisors is an integer number (9797760).

Almost surely, 2^1256612280 is an apocalyptic number.

1256612280 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 1256612280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508226560).

1256612280 is an abundant number, since it is smaller than the sum of its proper divisors (3759840840).

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

1256612280 is a wasteful number, since it uses less digits than its factorization.

1256612280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1256612280 is about 35448.7274806868. The cubic root of 1256612280 is about 1079.1134356621.

The spelling of 1256612280 in words is "one billion, two hundred fifty-six million, six hundred twelve thousand, two hundred eighty".