122784720 has 40 divisors (see below), whose sum is σ = 380633376. Its totient is φ = 32742528.

The previous prime is 122784713. The next prime is 122784721. The reversal of 122784720 is 27487221.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×122784720³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122784721) 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 7 ways as a sum of consecutive naturals, for example, 255562 + ... + 256041.

Almost surely, 2^122784720 is an apocalyptic number.

122784720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122784720 is an abundant number, since it is smaller than the sum of its proper divisors (257848656).

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

122784720 is a wasteful number, since it uses less digits than its factorization.

122784720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511619 (or 511613 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 122784720 is about 11080.8266839618. The cubic root of 122784720 is about 497.0286707156.

The spelling of 122784720 in words is "one hundred twenty-two million, seven hundred eighty-four thousand, seven hundred twenty".