1226144835600 has 480 divisors, whose sum is σ = 4407220419840. Its totient is φ = 289873920000.

The previous prime is 1226144835599. The next prime is 1226144835631. The reversal of 1226144835600 is 65384416221.

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, 24230325 + ... + 24280875.

It is an arithmetic number, because the mean of its divisors is an integer number (9181709208).

Almost surely, 2^{1226144835600} is an apocalyptic number.

1226144835600 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 1226144835600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203610209920).

1226144835600 is an abundant number, since it is smaller than the sum of its proper divisors (3181075584240).

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

1226144835600 is a wasteful number, since it uses less digits than its factorization.

1226144835600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50659 (or 50648 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 1226144835600 in words is "one trillion, two hundred twenty-six billion, one hundred forty-four million, eight hundred thirty-five thousand, six hundred".