1211087852352 has 336 divisors, whose sum is σ = 4009077072000. Its totient is φ = 342387855360.

The previous prime is 1211087852339. The next prime is 1211087852357. The reversal of 1211087852352 is 2532587801121.

1211087852352 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 0 + 8 + 78 + 523 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1211087852352² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1211087852298 and 1211087852307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211087852357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448715899 + ... + 448718597.

It is an arithmetic number, because the mean of its divisors is an integer number (11931777000).

Almost surely, 2^{1211087852352} is an apocalyptic number.

1211087852352 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 1211087852352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004538536000).

1211087852352 is an abundant number, since it is smaller than the sum of its proper divisors (2797989219648).

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

1211087852352 is a wasteful number, since it uses less digits than its factorization.

1211087852352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 1211087852352 in words is "one trillion, two hundred eleven billion, eighty-seven million, eight hundred fifty-two thousand, three hundred fifty-two".