1226220197440 has 224 divisors, whose sum is σ = 3460208984064. Its totient is φ = 405026887680.

The previous prime is 1226220197417. The next prime is 1226220197441. The reversal of 1226220197440 is 447910226221.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1226220197393 and 1226220197402.

It is not an unprimeable number, because it can be changed into a prime (1226220197441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15445527 + ... + 15524713.

It is an arithmetic number, because the mean of its divisors is an integer number (15447361536).

Almost surely, 2^{1226220197440} is an apocalyptic number.

1226220197440 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 1226220197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730104492032).

1226220197440 is an abundant number, since it is smaller than the sum of its proper divisors (2233988786624).

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

1226220197440 is a wasteful number, since it uses less digits than its factorization.

1226220197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79465 (or 79455 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 1226220197440 in words is "one trillion, two hundred twenty-six billion, two hundred twenty million, one hundred ninety-seven thousand, four hundred forty".