1217281255680 has 576 divisors, whose sum is σ = 4620312281088. Its totient is φ = 267269898240.

The previous prime is 1217281255667. The next prime is 1217281255691. The reversal of 1217281255680 is 865521827121.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114154029 + ... + 114164691.

It is an arithmetic number, because the mean of its divisors is an integer number (8021375488).

Almost surely, 2^{1217281255680} is an apocalyptic number.

1217281255680 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 1217281255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310156140544).

1217281255680 is an abundant number, since it is smaller than the sum of its proper divisors (3403031025408).

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

1217281255680 is a wasteful number, since it uses less digits than its factorization.

1217281255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10862 (or 10848 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 48.

The spelling of 1217281255680 in words is "one trillion, two hundred seventeen billion, two hundred eighty-one million, two hundred fifty-five thousand, six hundred eighty".