12270693377376 has 720 divisors, whose sum is σ = 43875460823040. Its totient is φ = 3348077483520.

The previous prime is 12270693377339. The next prime is 12270693377381. The reversal of 12270693377376 is 67377339607221.

12270693377376 is a `hidden beast` number, since 1 + 227 + 0 + 6 + 9 + 3 + 37 + 7 + 376 = 666.

12270693377376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2018535105 + ... + 2018541183.

It is an arithmetic number, because the mean of its divisors is an integer number (60938140032).

Almost surely, 2^{12270693377376} is an apocalyptic number.

12270693377376 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 12270693377376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21937730411520).

12270693377376 is an abundant number, since it is smaller than the sum of its proper divisors (31604767445664).

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

12270693377376 is a wasteful number, since it uses less digits than its factorization.

12270693377376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6829 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 84015792, while the sum is 63.

The spelling of 12270693377376 in words is "twelve trillion, two hundred seventy billion, six hundred ninety-three million, three hundred seventy-seven thousand, three hundred seventy-six".