12277020026880 has 1728 divisors, whose sum is σ = 54358686083520. Its totient is φ = 2640660922368.

The previous prime is 12277020026767. The next prime is 12277020026903. The reversal of 12277020026880 is 8862002077221.

12277020026880 is a `hidden beast` number, since 1 + 227 + 70 + 20 + 0 + 268 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2072767599 + ... + 2072773521.

It is an arithmetic number, because the mean of its divisors is an integer number (31457572965).

Almost surely, 2^{12277020026880} is an apocalyptic number.

12277020026880 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 12277020026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27179343041760).

12277020026880 is an abundant number, since it is smaller than the sum of its proper divisors (42081666056640).

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

12277020026880 is an equidigital number, since it uses as much as digits as its factorization.

12277020026880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5996 (or 5957 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 12277020026880 in words is "twelve trillion, two hundred seventy-seven billion, twenty million, twenty-six thousand, eight hundred eighty".