1226254000 has 160 divisors (see below), whose sum is σ = 3100533696. Its totient is φ = 468633600.

The previous prime is 1226253991. The next prime is 1226254019. The reversal of 1226254000 is 4526221.

1226254000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1226254000⁴ (a number of 37 digits) contains 4444 as substring.

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, 5401887 + ... + 5402113.

Almost surely, 2^1226254000 is an apocalyptic number.

1226254000 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 1226254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550266848).

1226254000 is an abundant number, since it is smaller than the sum of its proper divisors (1874279696).

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

1226254000 is a wasteful number, since it uses less digits than its factorization.

1226254000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1226254000 is about 35017.9097034646. The cubic root of 1226254000 is about 1070.3524619849.

The spelling of 1226254000 in words is "one billion, two hundred twenty-six million, two hundred fifty-four thousand".