1211968880640 has 512 divisors, whose sum is σ = 4924876608000. Its totient is φ = 277014380544.

The previous prime is 1211968880623. The next prime is 1211968880651. The reversal of 1211968880640 is 460888691121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30946191 + ... + 30985329.

It is an arithmetic number, because the mean of its divisors is an integer number (9618899625).

Almost surely, 2^{1211968880640} is an apocalyptic number.

1211968880640 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 1211968880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462438304000).

1211968880640 is an abundant number, since it is smaller than the sum of its proper divisors (3712907727360).

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

1211968880640 is an frugal number, since it uses more digits than its factorization.

1211968880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39190 (or 39156 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 1211968880640 in words is "one trillion, two hundred eleven billion, nine hundred sixty-eight million, eight hundred eighty thousand, six hundred forty".