1166121226200 has 192 divisors, whose sum is σ = 4131931253760. Its totient is φ = 266507781120.

The previous prime is 1166121226187. The next prime is 1166121226261. The reversal of 1166121226200 is 26221216611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48300532 + ... + 48324668.

It is an arithmetic number, because the mean of its divisors is an integer number (21520475280).

Almost surely, 2^{1166121226200} is an apocalyptic number.

1166121226200 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 1166121226200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065965626880).

1166121226200 is an abundant number, since it is smaller than the sum of its proper divisors (2965810027560).

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

1166121226200 is a wasteful number, since it uses less digits than its factorization.

1166121226200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35666 (or 35657 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 1166121226200 in words is "one trillion, one hundred sixty-six billion, one hundred twenty-one million, two hundred twenty-six thousand, two hundred".