1222037264448 has 1344 divisors, whose sum is σ = 5090719076352. Its totient is φ = 280174878720.

The previous prime is 1222037264443. The next prime is 1222037264453. The reversal of 1222037264448 is 8444627302221.

1222037264448 is a `hidden beast` number, since 12 + 220 + 372 + 6 + 4 + 4 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (1222037264443) and next prime (1222037264453).

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (1222037264443) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 358051990 + ... + 358055402.

It is an arithmetic number, because the mean of its divisors is an integer number (3787737408).

Almost surely, 2^{1222037264448} is an apocalyptic number.

1222037264448 is a gapful number since it is divisible by the number (18) 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 1222037264448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545359538176).

1222037264448 is an abundant number, since it is smaller than the sum of its proper divisors (3868681811904).

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

1222037264448 is a wasteful number, since it uses less digits than its factorization.

1222037264448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 1222037264448 in words is "one trillion, two hundred twenty-two billion, thirty-seven million, two hundred sixty-four thousand, four hundred forty-eight".