1261204240716 has 864 divisors, whose sum is σ = 4290261655680. Its totient is φ = 304470835200.

The previous prime is 1261204240711. The next prime is 1261204240741. The reversal of 1261204240716 is 6170424021621.

1261204240716 is a `hidden beast` number, since 1 + 2 + 612 + 0 + 4 + 24 + 0 + 7 + 16 = 666.

It is a super-2 number, since 2×1261204240716² (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 not an unprimeable number, because it can be changed into a prime (1261204240711) 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 287 ways as a sum of consecutive naturals, for example, 2735800726 + ... + 2735801186.

It is an arithmetic number, because the mean of its divisors is an integer number (4965580620).

Almost surely, 2^{1261204240716} 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 1261204240716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145130827840).

1261204240716 is an abundant number, since it is smaller than the sum of its proper divisors (3029057414964).

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

1261204240716 is a wasteful number, since it uses less digits than its factorization.

1261204240716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1261204240716 in words is "one trillion, two hundred sixty-one billion, two hundred four million, two hundred forty thousand, seven hundred sixteen".