1229256756 has 384 divisors, whose sum is σ = 4290048000. Its totient is φ = 295239168.

The previous prime is 1229256739. The next prime is 1229256817. The reversal of 1229256756 is 6576529221.

1229256756 is a `hidden beast` number, since 12 + 29 + 2 + 567 + 56 = 666.

It is a super-2 number, since 2×1229256756² = 3022144344343287072, which contains 22 as substring.

Its product of digits (453600) is a multiple of the sum of its prime divisors (300).

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 127 ways as a sum of consecutive naturals, for example, 5415115 + ... + 5415341.

It is an arithmetic number, because the mean of its divisors is an integer number (11172000).

Almost surely, 2^1229256756 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 1229256756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145024000).

1229256756 is an abundant number, since it is smaller than the sum of its proper divisors (3060791244).

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

1229256756 is a wasteful number, since it uses less digits than its factorization.

1229256756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 1229256756 is about 35060.7580636814. The cubic root of 1229256756 is about 1071.2254152872.

The spelling of 1229256756 in words is "one billion, two hundred twenty-nine million, two hundred fifty-six thousand, seven hundred fifty-six".