1226249256960 has 1440 divisors, whose sum is σ = 5352921974400. Its totient is φ = 258031484928.

The previous prime is 1226249256943. The next prime is 1226249256977. The reversal of 1226249256960 is 696529426221.

1226249256960 is a `hidden beast` number, since 1 + 2 + 2 + 62 + 492 + 5 + 6 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1226249256943) and next prime (1226249256977).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a junction number, because it is equal to n+sod(n) for n = 1226249256897 and 1226249256906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3287531334 + ... + 3287531706.

Almost surely, 2^{1226249256960} is an apocalyptic number.

1226249256960 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 1226249256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676460987200).

1226249256960 is an abundant number, since it is smaller than the sum of its proper divisors (4126672717440).

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

1226249256960 is an equidigital number, since it uses as much as digits as its factorization.

1226249256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1226249256960 in words is "one trillion, two hundred twenty-six billion, two hundred forty-nine million, two hundred fifty-six thousand, nine hundred sixty".