1229358271680 has 672 divisors, whose sum is σ = 5503622906880. Its totient is φ = 255450101760.

The previous prime is 1229358271663. The next prime is 1229358271681. The reversal of 1229358271680 is 861728539221.

1229358271680 is a `hidden beast` number, since 1 + 2 + 293 + 5 + 8 + 271 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1229358271680² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1229358271681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4524969 + ... + 4788951.

It is an arithmetic number, because the mean of its divisors is an integer number (8189915040).

Almost surely, 2^{1229358271680} is an apocalyptic number.

1229358271680 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 1229358271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751811453440).

1229358271680 is an abundant number, since it is smaller than the sum of its proper divisors (4274264635200).

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

1229358271680 is a wasteful number, since it uses less digits than its factorization.

1229358271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264034 (or 264011 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1229358271680 in words is "one trillion, two hundred twenty-nine billion, three hundred fifty-eight million, two hundred seventy-one thousand, six hundred eighty".