1211048459712 has 840 divisors, whose sum is σ = 4517934143184. Its totient is φ = 317931651072.

The previous prime is 1211048459693. The next prime is 1211048459737. The reversal of 1211048459712 is 2179548401121.

It is a happy number.

1211048459712 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 0 + 48 + 4 + 597 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 848666743 + ... + 848668169.

Almost surely, 2^{1211048459712} is an apocalyptic number.

1211048459712 is a gapful number since it is divisible by the number (12) 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 1211048459712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258967071592).

1211048459712 is an abundant number, since it is smaller than the sum of its proper divisors (3306885683472).

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

1211048459712 is a wasteful number, since it uses less digits than its factorization.

1211048459712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 1211048459712 in words is "one trillion, two hundred eleven billion, forty-eight million, four hundred fifty-nine thousand, seven hundred twelve".