1226197240416 has 360 divisors, whose sum is σ = 3821560835400. Its totient is φ = 385637842944.

The previous prime is 1226197240393. The next prime is 1226197240501. The reversal of 1226197240416 is 6140427916221.

1226197240416 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 197 + 2 + 40 + 416 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 240475435 + ... + 240480533.

It is an arithmetic number, because the mean of its divisors is an integer number (10615446765).

Almost surely, 2^{1226197240416} is an apocalyptic number.

1226197240416 is a gapful number since it is divisible by the number (16) 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 1226197240416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910780417700).

1226197240416 is an abundant number, since it is smaller than the sum of its proper divisors (2595363594984).

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

1226197240416 is a wasteful number, since it uses less digits than its factorization.

1226197240416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5416 (or 5380 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1226197240416 in words is "one trillion, two hundred twenty-six billion, one hundred ninety-seven million, two hundred forty thousand, four hundred sixteen".