122766100 has 36 divisors (see below), whose sum is σ = 270170208. Its totient is φ = 48412000.

The previous prime is 122766097. The next prime is 122766103. The reversal of 122766100 is 1667221.

It is an interprime number because it is at equal distance from previous prime (122766097) and next prime (122766103).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122766103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1546 + ... + 15745.

It is an arithmetic number, because the mean of its divisors is an integer number (7504728).

Almost surely, 2^122766100 is an apocalyptic number.

122766100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122766100 is an abundant number, since it is smaller than the sum of its proper divisors (147404108).

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

122766100 is a wasteful number, since it uses less digits than its factorization.

122766100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17376 (or 17369 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 122766100 is about 11079.9864620856. The cubic root of 122766100 is about 497.0035450547.

The spelling of 122766100 in words is "one hundred twenty-two million, seven hundred sixty-six thousand, one hundred".