1227268242720 has 768 divisors, whose sum is σ = 4749581007360. Its totient is φ = 294119424000.

The previous prime is 1227268242703. The next prime is 1227268242721. The reversal of 1227268242720 is 272428627221.

It is a happy number.

1227268242720 is a `hidden beast` number, since 12 + 272 + 68 + 242 + 72 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1227268242721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 345999987 + ... + 346003533.

It is an arithmetic number, because the mean of its divisors is an integer number (6184350270).

Almost surely, 2^{1227268242720} is an apocalyptic number.

1227268242720 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 1227268242720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374790503680).

1227268242720 is an abundant number, since it is smaller than the sum of its proper divisors (3522312764640).

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

1227268242720 is a wasteful number, since it uses less digits than its factorization.

1227268242720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 1227268242720 in words is "one trillion, two hundred twenty-seven billion, two hundred sixty-eight million, two hundred forty-two thousand, seven hundred twenty".