1211672595840 has 384 divisors, whose sum is σ = 4496184806400. Its totient is φ = 276743319552.

The previous prime is 1211672595817. The next prime is 1211672595841. The reversal of 1211672595840 is 485952761121.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211672595841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147419251 + ... + 147427469.

It is an arithmetic number, because the mean of its divisors is an integer number (11708814600).

Almost surely, 2^{1211672595840} is an apocalyptic number.

1211672595840 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 1211672595840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248092403200).

1211672595840 is an abundant number, since it is smaller than the sum of its proper divisors (3284512210560).

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

1211672595840 is a wasteful number, since it uses less digits than its factorization.

1211672595840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9822 (or 9803 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 1211672595840 in words is "one trillion, two hundred eleven billion, six hundred seventy-two million, five hundred ninety-five thousand, eight hundred forty".