120027262166800 has 60 divisors (see below), whose sum is σ = 298309135224420. Its totient is φ = 46355356418560.

The previous prime is 120027262166797. The next prime is 120027262166837. The reversal of 120027262166800 is 8661262720021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 12365969174784 + 107661292992016 = 3516528^2 + 10375996^2 .

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 11 ways as a sum of consecutive naturals, for example, 5173577287 + ... + 5173600486.

It is an arithmetic number, because the mean of its divisors is an integer number (4971818920407).

Almost surely, 2^{120027262166800} is an apocalyptic number.

120027262166800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120027262166800 is an abundant number, since it is smaller than the sum of its proper divisors (178281873057620).

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

120027262166800 is a wasteful number, since it uses less digits than its factorization.

120027262166800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10347177820 (or 10347177809 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 120027262166800 in words is "one hundred twenty trillion, twenty-seven billion, two hundred sixty-two million, one hundred sixty-six thousand, eight hundred".