1211506715552 has 288 divisors, whose sum is σ = 3039413207040. Its totient is φ = 472449922560.

The previous prime is 1211506715477. The next prime is 1211506715567. The reversal of 1211506715552 is 2555176051121.

It is an unprimeable number.

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, 65951873 + ... + 65970239.

It is an arithmetic number, because the mean of its divisors is an integer number (10553518080).

Almost surely, 2^{1211506715552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211506715552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519706603520).

1211506715552 is an abundant number, since it is smaller than the sum of its proper divisors (1827906491488).

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

1211506715552 is a wasteful number, since it uses less digits than its factorization.

1211506715552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18504 (or 18489 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 41.

The spelling of 1211506715552 in words is "one trillion, two hundred eleven billion, five hundred six million, seven hundred fifteen thousand, five hundred fifty-two".