1211340873600 has 1440 divisors, whose sum is σ = 5293168585320. Its totient is φ = 270978048000.

The previous prime is 1211340873553. The next prime is 1211340873623. The reversal of 1211340873600 is 63780431121.

It is a happy number.

1211340873600 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 3 + 40 + 8 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×1211340873600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 407720115 + ... + 407723085.

Almost surely, 2^{1211340873600} is an apocalyptic number.

1211340873600 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 1211340873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646584292660).

1211340873600 is an abundant number, since it is smaller than the sum of its proper divisors (4081827711720).

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

1211340873600 is a wasteful number, since it uses less digits than its factorization.

1211340873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1211340873600 in words is "one trillion, two hundred eleven billion, three hundred forty million, eight hundred seventy-three thousand, six hundred".