12051261161280 has 336 divisors, whose sum is σ = 45593348943168. Its totient is φ = 2921516928000.

The previous prime is 12051261161279. The next prime is 12051261161281. The reversal of 12051261161280 is 8216116215021.

12051261161280 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 1 + 26 + 11 + 612 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12051261161279) and next prime (12051261161281).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12051261161281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2261355 + ... + 5405205.

Almost surely, 2^{12051261161280} is an apocalyptic number.

12051261161280 is a gapful number since it is divisible by the number (10) 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 12051261161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22796674471584).

12051261161280 is an abundant number, since it is smaller than the sum of its proper divisors (33542087781888).

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

12051261161280 is a wasteful number, since it uses less digits than its factorization.

12051261161280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143907 (or 3143872 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 12051261161280 in words is "twelve trillion, fifty-one billion, two hundred sixty-one million, one hundred sixty-one thousand, two hundred eighty".