122767488 has 96 divisors (see below), whose sum is σ = 366453360. Its totient is φ = 40912128.

The previous prime is 122767457. The next prime is 122767499. The reversal of 122767488 is 884767221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×122767488² = 30143712219660288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29131 + ... + 33077.

Almost surely, 2^122767488 is an apocalyptic number.

122767488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122767488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183226680).

122767488 is an abundant number, since it is smaller than the sum of its proper divisors (243685872).

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

122767488 is an frugal number, since it uses more digits than its factorization.

122767488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 3952 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 122767488 is about 11080.0490973641. The cubic root of 122767488 is about 497.0054180971.

The spelling of 122767488 in words is "one hundred twenty-two million, seven hundred sixty-seven thousand, four hundred eighty-eight".