1211742168 has 256 divisors, whose sum is σ = 3884160000. Its totient is φ = 314810496.

The previous prime is 1211742113. The next prime is 1211742173. The reversal of 1211742168 is 8612471121.

1211742168 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 18085671 + ... + 18085737.

It is an arithmetic number, because the mean of its divisors is an integer number (15172500).

Almost surely, 2^1211742168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211742168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942080000).

1211742168 is an abundant number, since it is smaller than the sum of its proper divisors (2672417832).

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

1211742168 is an equidigital number, since it uses as much as digits as its factorization.

1211742168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 92 counting only the distinct ones).

The product of its digits is 5376, while the sum is 33.

The square root of 1211742168 is about 34810.0871587533. The cubic root of 1211742168 is about 1066.1134124824.

It can be divided in two parts, 12117 and 42168, that added together give a triangular number (54285 = T₃₂₉).

The spelling of 1211742168 in words is "one billion, two hundred eleven million, seven hundred forty-two thousand, one hundred sixty-eight".