1159066221120 has 168 divisors, whose sum is σ = 4134360869184. Its totient is φ = 309084304896.

The previous prime is 1159066221113. The next prime is 1159066221127. The reversal of 1159066221120 is 211226609511.

1159066221120 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 0 + 6 + 622 + 1 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1159066221113) and next prime (1159066221127).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1159066221127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7375084 + ... + 7530603.

It is an arithmetic number, because the mean of its divisors is an integer number (24609290888).

Almost surely, 2^{1159066221120} is an apocalyptic number.

1159066221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1159066221120 is an abundant number, since it is smaller than the sum of its proper divisors (2975294648064).

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

1159066221120 is an equidigital number, since it uses as much as digits as its factorization.

1159066221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14905719 (or 14905697 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 1159066221120 in words is "one trillion, one hundred fifty-nine billion, sixty-six million, two hundred twenty-one thousand, one hundred twenty".