1226342937600 has 2112 divisors, whose sum is σ = 5232187023360. Its totient is φ = 281014272000.

The previous prime is 1226342937577. The next prime is 1226342937601. The reversal of 1226342937600 is 67392436221.

1226342937600 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 3 + 4 + 2 + 9 + 37 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226342937601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28519603179 + ... + 28519603221.

It is an arithmetic number, because the mean of its divisors is an integer number (2477361280).

Almost surely, 2^{1226342937600} is an apocalyptic number.

1226342937600 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 1226342937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616093511680).

1226342937600 is an abundant number, since it is smaller than the sum of its proper divisors (4005844085760).

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

1226342937600 is a wasteful number, since it uses less digits than its factorization.

1226342937600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 1226342937600 in words is "one trillion, two hundred twenty-six billion, three hundred forty-two million, nine hundred thirty-seven thousand, six hundred".