122771640 has 64 divisors (see below), whose sum is σ = 369136800. Its totient is φ = 32666112.

The previous prime is 122771633. The next prime is 122771641. The reversal of 122771640 is 46177221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 122771598 and 122771607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122771641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72726 + ... + 74394.

Almost surely, 2^122771640 is an apocalyptic number.

122771640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122771640 is an abundant number, since it is smaller than the sum of its proper divisors (246365160).

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

122771640 is a wasteful number, since it uses less digits than its factorization.

122771640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 122771640 is about 11080.2364595707. The cubic root of 122771640 is about 497.0110209465.

The spelling of 122771640 in words is "one hundred twenty-two million, seven hundred seventy-one thousand, six hundred forty".