126181220810796 has 288 divisors, whose sum is σ = 349628668945920. Its totient is φ = 39711516793344.

The previous prime is 126181220810713. The next prime is 126181220810837. The reversal of 126181220810796 is 697018022181621.

126181220810796 is a `hidden beast` number, since 1 + 2 + 618 + 1 + 2 + 2 + 0 + 8 + 10 + 7 + 9 + 6 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1167890490 + ... + 1167998526.

It is an arithmetic number, because the mean of its divisors is an integer number (1213988433840).

Almost surely, 2^{126181220810796} 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 126181220810796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174814334472960).

126181220810796 is an abundant number, since it is smaller than the sum of its proper divisors (223447448135124).

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

126181220810796 is a wasteful number, since it uses less digits than its factorization.

126181220810796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108755 (or 108741 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 126181220810796 in words is "one hundred twenty-six trillion, one hundred eighty-one billion, two hundred twenty million, eight hundred ten thousand, seven hundred ninety-six".