1213079166000 has 1600 divisors, whose sum is σ = 5162255594496. Its totient is φ = 271724544000.

The previous prime is 1213079165989. The next prime is 1213079166107. The reversal of 1213079166000 is 6619703121.

1213079166000 is a `hidden beast` number, since 1 + 2 + 1 + 30 + 7 + 9 + 16 + 600 + 0 = 666.

It is a super-2 number, since 2×1213079166000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1109861454 + ... + 1109862546.

Almost surely, 2^{1213079166000} is an apocalyptic number.

1213079166000 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 1213079166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581127797248).

1213079166000 is an abundant number, since it is smaller than the sum of its proper divisors (3949176428496).

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

1213079166000 is a wasteful number, since it uses less digits than its factorization.

1213079166000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 1213079166000 in words is "one trillion, two hundred thirteen billion, seventy-nine million, one hundred sixty-six thousand".