1167013149120 has 1008 divisors, whose sum is σ = 5041611626688. Its totient is φ = 245589442560.

The previous prime is 1167013149119. The next prime is 1167013149149. The reversal of 1167013149120 is 219413107611.

1167013149120 is a `hidden beast` number, since 1 + 16 + 7 + 0 + 131 + 491 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1131923005 + ... + 1131924035.

It is an arithmetic number, because the mean of its divisors is an integer number (5001598836).

Almost surely, 2^{1167013149120} is an apocalyptic number.

1167013149120 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 1167013149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520805813344).

1167013149120 is an abundant number, since it is smaller than the sum of its proper divisors (3874598477568).

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

1167013149120 is a wasteful number, since it uses less digits than its factorization.

1167013149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 1167013149120 in words is "one trillion, one hundred sixty-seven billion, thirteen million, one hundred forty-nine thousand, one hundred twenty".