1211315345856 has 672 divisors, whose sum is σ = 4664908892160. Its totient is φ = 304470835200.

The previous prime is 1211315345833. The next prime is 1211315345939. The reversal of 1211315345856 is 6585435131121.

1211315345856 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 31 + 5 + 34 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28852176 + ... + 28894128.

Almost surely, 2^{1211315345856} is an apocalyptic number.

1211315345856 is a gapful number since it is divisible by the number (16) 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 1211315345856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332454446080).

1211315345856 is an abundant number, since it is smaller than the sum of its proper divisors (3453593546304).

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

1211315345856 is a wasteful number, since it uses less digits than its factorization.

1211315345856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42030 (or 42007 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The spelling of 1211315345856 in words is "one trillion, two hundred eleven billion, three hundred fifteen million, three hundred forty-five thousand, eight hundred fifty-six".