1228716669600 has 3024 divisors, whose sum is σ = 5762473678080. Its totient is φ = 253957939200.

The previous prime is 1228716669553. The next prime is 1228716669613. The reversal of 1228716669600 is 69666178221.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 16831735164 + ... + 16831735236.

It is an arithmetic number, because the mean of its divisors is an integer number (1905579920).

Almost surely, 2^{1228716669600} is an apocalyptic number.

1228716669600 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 1228716669600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881236839040).

1228716669600 is an abundant number, since it is smaller than the sum of its proper divisors (4533757008480).

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

1228716669600 is a wasteful number, since it uses less digits than its factorization.

1228716669600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1228716669600 in words is "one trillion, two hundred twenty-eight billion, seven hundred sixteen million, six hundred sixty-nine thousand, six hundred".