12261137567616 has 640 divisors, whose sum is σ = 42389142048000. Its totient is φ = 3445592629248.

The previous prime is 12261137567603. The next prime is 12261137567641. The reversal of 12261137567616 is 61676573116221.

12261137567616 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 1 + 13 + 7 + 5 + 6 + 7 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4021362060 + ... + 4021365108.

It is an arithmetic number, because the mean of its divisors is an integer number (66233034450).

Almost surely, 2^{12261137567616} is an apocalyptic number.

12261137567616 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 12261137567616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21194571024000).

12261137567616 is an abundant number, since it is smaller than the sum of its proper divisors (30128004480384).

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

12261137567616 is an equidigital number, since it uses as much as digits as its factorization.

12261137567616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 3955 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 12261137567616 in words is "twelve trillion, two hundred sixty-one billion, one hundred thirty-seven million, five hundred sixty-seven thousand, six hundred sixteen".